Finding the Third Proportional to 288,582 and 393,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   288,582 : 393,127.50 = 393,127.50 : x
2. Step 2: Convert to fraction form
   288,582/393,127.50 = 393,127.50/x
3. Step 3: Cross multiply
   288,582x = 393,127.50 × 393,127.50
4. Step 4: Simplify right side
   288,582x = 154,549,231,256.25
5. Step 5: Solve for x
   x = 154,549,231,256.25/288,582
6. Step 6: Final answer
   x = 535,547.02