Finding the Third Proportional to 384,002.50 and 509,554.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,002.50 : 509,554.50 = 509,554.50 : x
2. Step 2: Convert to fraction form
   384,002.50/509,554.50 = 509,554.50/x
3. Step 3: Cross multiply
   384,002.50x = 509,554.50 × 509,554.50
4. Step 4: Simplify right side
   384,002.50x = 259,645,788,470.25
5. Step 5: Solve for x
   x = 259,645,788,470.25/384,002.50
6. Step 6: Final answer
   x = 676,156.51