Finding the Third Proportional to 66,539 and 100,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,539 : 100,499.50 = 100,499.50 : x
2. Step 2: Convert to fraction form
   66,539/100,499.50 = 100,499.50/x
3. Step 3: Cross multiply
   66,539x = 100,499.50 × 100,499.50
4. Step 4: Simplify right side
   66,539x = 10,100,149,500.25
5. Step 5: Solve for x
   x = 10,100,149,500.25/66,539
6. Step 6: Final answer
   x = 151,792.93