Finding the Third Proportional to 525,388 and 832,065

Step by Step Solution

1. Step 1: Write the proportion equation
   525,388 : 832,065 = 832,065 : x
2. Step 2: Convert to fraction form
   525,388/832,065 = 832,065/x
3. Step 3: Cross multiply
   525,388x = 832,065 × 832,065
4. Step 4: Simplify right side
   525,388x = 692,332,164,225
5. Step 5: Solve for x
   x = 692,332,164,225/525,388
6. Step 6: Final answer
   x = 1,317,754.05