Finding the Third Proportional to 377,085.50 and 527,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   377,085.50 : 527,468.50 = 527,468.50 : x
2. Step 2: Convert to fraction form
   377,085.50/527,468.50 = 527,468.50/x
3. Step 3: Cross multiply
   377,085.50x = 527,468.50 × 527,468.50
4. Step 4: Simplify right side
   377,085.50x = 278,223,018,492.25
5. Step 5: Solve for x
   x = 278,223,018,492.25/377,085.50
6. Step 6: Final answer
   x = 737,824.76