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Finding the Third Proportional to 778 and 856

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Solution

The third proportional to 778 and 856 is: 941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    778 : 856 = 856 : x
  2. Step 2: Convert to fraction form
    778/856 = 856/x
  3. Step 3: Cross multiply
    778x = 856 × 856
  4. Step 4: Simplify right side
    778x = 732,736
  5. Step 5: Solve for x
    x = 732,736/778
  6. Step 6: Final answer
    x = 941.82

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