Finding the Third Proportional to 359,838 and 528,084

Step by Step Solution

1. Step 1: Write the proportion equation
   359,838 : 528,084 = 528,084 : x
2. Step 2: Convert to fraction form
   359,838/528,084 = 528,084/x
3. Step 3: Cross multiply
   359,838x = 528,084 × 528,084
4. Step 4: Simplify right side
   359,838x = 278,872,711,056
5. Step 5: Solve for x
   x = 278,872,711,056/359,838
6. Step 6: Final answer
   x = 774,995.17