Finding the Third Proportional to 359,820 and 528,065

Step by Step Solution

1. Step 1: Write the proportion equation
   359,820 : 528,065 = 528,065 : x
2. Step 2: Convert to fraction form
   359,820/528,065 = 528,065/x
3. Step 3: Cross multiply
   359,820x = 528,065 × 528,065
4. Step 4: Simplify right side
   359,820x = 278,852,644,225
5. Step 5: Solve for x
   x = 278,852,644,225/359,820
6. Step 6: Final answer
   x = 774,978.17