Finding the Third Proportional to 59,926 and 133,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,926 : 133,153.50 = 133,153.50 : x
2. Step 2: Convert to fraction form
   59,926/133,153.50 = 133,153.50/x
3. Step 3: Cross multiply
   59,926x = 133,153.50 × 133,153.50
4. Step 4: Simplify right side
   59,926x = 17,729,854,562.25
5. Step 5: Solve for x
   x = 17,729,854,562.25/59,926
6. Step 6: Final answer
   x = 295,862.47