Finding the Third Proportional to 65,414 and 101,265

Step by Step Solution

1. Step 1: Write the proportion equation
   65,414 : 101,265 = 101,265 : x
2. Step 2: Convert to fraction form
   65,414/101,265 = 101,265/x
3. Step 3: Cross multiply
   65,414x = 101,265 × 101,265
4. Step 4: Simplify right side
   65,414x = 10,254,600,225
5. Step 5: Solve for x
   x = 10,254,600,225/65,414
6. Step 6: Final answer
   x = 156,764.61