Finding the Third Proportional to 65,222 and 103,670

Step by Step Solution

1. Step 1: Write the proportion equation
   65,222 : 103,670 = 103,670 : x
2. Step 2: Convert to fraction form
   65,222/103,670 = 103,670/x
3. Step 3: Cross multiply
   65,222x = 103,670 × 103,670
4. Step 4: Simplify right side
   65,222x = 10,747,468,900
5. Step 5: Solve for x
   x = 10,747,468,900/65,222
6. Step 6: Final answer
   x = 164,782.88