Finding the Third Proportional to 235,830 and 365,449.50

Step by Step Solution

1. Step 1: Write the proportion equation
   235,830 : 365,449.50 = 365,449.50 : x
2. Step 2: Convert to fraction form
   235,830/365,449.50 = 365,449.50/x
3. Step 3: Cross multiply
   235,830x = 365,449.50 × 365,449.50
4. Step 4: Simplify right side
   235,830x = 133,553,337,050.25
5. Step 5: Solve for x
   x = 133,553,337,050.25/235,830
6. Step 6: Final answer
   x = 566,311.91