Finding the Third Proportional to 359,746 and 527,955

Step by Step Solution

1. Step 1: Write the proportion equation
   359,746 : 527,955 = 527,955 : x
2. Step 2: Convert to fraction form
   359,746/527,955 = 527,955/x
3. Step 3: Cross multiply
   359,746x = 527,955 × 527,955
4. Step 4: Simplify right side
   359,746x = 278,736,482,025
5. Step 5: Solve for x
   x = 278,736,482,025/359,746
6. Step 6: Final answer
   x = 774,814.68