Finding the Third Proportional to 288,002.25 and 387,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   288,002.25 : 387,706.50 = 387,706.50 : x
2. Step 2: Convert to fraction form
   288,002.25/387,706.50 = 387,706.50/x
3. Step 3: Cross multiply
   288,002.25x = 387,706.50 × 387,706.50
4. Step 4: Simplify right side
   288,002.25x = 150,316,330,142.25
5. Step 5: Solve for x
   x = 150,316,330,142.25/288,002.25
6. Step 6: Final answer
   x = 521,927.62