Finding the Third Proportional to 42,782 and 103,674

Step by Step Solution

1. Step 1: Write the proportion equation
   42,782 : 103,674 = 103,674 : x
2. Step 2: Convert to fraction form
   42,782/103,674 = 103,674/x
3. Step 3: Cross multiply
   42,782x = 103,674 × 103,674
4. Step 4: Simplify right side
   42,782x = 10,748,298,276
5. Step 5: Solve for x
   x = 10,748,298,276/42,782
6. Step 6: Final answer
   x = 251,234.12