Finding the Third Proportional to 377,083.50 and 527,466

Step by Step Solution

1. Step 1: Write the proportion equation
   377,083.50 : 527,466 = 527,466 : x
2. Step 2: Convert to fraction form
   377,083.50/527,466 = 527,466/x
3. Step 3: Cross multiply
   377,083.50x = 527,466 × 527,466
4. Step 4: Simplify right side
   377,083.50x = 278,220,381,156
5. Step 5: Solve for x
   x = 278,220,381,156/377,083.50
6. Step 6: Final answer
   x = 737,821.68