Finding the Third Proportional to 377,084 and 527,466.75

Step by Step Solution

1. Step 1: Write the proportion equation
   377,084 : 527,466.75 = 527,466.75 : x
2. Step 2: Convert to fraction form
   377,084/527,466.75 = 527,466.75/x
3. Step 3: Cross multiply
   377,084x = 527,466.75 × 527,466.75
4. Step 4: Simplify right side
   377,084x = 278,221,172,355.56
5. Step 5: Solve for x
   x = 278,221,172,355.56/377,084
6. Step 6: Final answer
   x = 737,822.80