Finding the Third Proportional to 65,407 and 101,256

Step by Step Solution

1. Step 1: Write the proportion equation
   65,407 : 101,256 = 101,256 : x
2. Step 2: Convert to fraction form
   65,407/101,256 = 101,256/x
3. Step 3: Cross multiply
   65,407x = 101,256 × 101,256
4. Step 4: Simplify right side
   65,407x = 10,252,777,536
5. Step 5: Solve for x
   x = 10,252,777,536/65,407
6. Step 6: Final answer
   x = 156,753.52