Finding the Third Proportional to 309,633.75 and 478,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,633.75 : 478,540.50 = 478,540.50 : x
2. Step 2: Convert to fraction form
   309,633.75/478,540.50 = 478,540.50/x
3. Step 3: Cross multiply
   309,633.75x = 478,540.50 × 478,540.50
4. Step 4: Simplify right side
   309,633.75x = 229,001,010,140.25
5. Step 5: Solve for x
   x = 229,001,010,140.25/309,633.75
6. Step 6: Final answer
   x = 739,586.72