Finding the Third Proportional to 100,659 and 156,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,659 : 156,496.50 = 156,496.50 : x
2. Step 2: Convert to fraction form
   100,659/156,496.50 = 156,496.50/x
3. Step 3: Cross multiply
   100,659x = 156,496.50 × 156,496.50
4. Step 4: Simplify right side
   100,659x = 24,491,154,512.25
5. Step 5: Solve for x
   x = 24,491,154,512.25/100,659
6. Step 6: Final answer
   x = 243,308.14