Finding the Third Proportional to 185,355 and 283,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,355 : 283,225.50 = 283,225.50 : x
2. Step 2: Convert to fraction form
   185,355/283,225.50 = 283,225.50/x
3. Step 3: Cross multiply
   185,355x = 283,225.50 × 283,225.50
4. Step 4: Simplify right side
   185,355x = 80,216,683,850.25
5. Step 5: Solve for x
   x = 80,216,683,850.25/185,355
6. Step 6: Final answer
   x = 432,773.24