Finding the Third Proportional to 525,438 and 832,140

Step by Step Solution

1. Step 1: Write the proportion equation
   525,438 : 832,140 = 832,140 : x
2. Step 2: Convert to fraction form
   525,438/832,140 = 832,140/x
3. Step 3: Cross multiply
   525,438x = 832,140 × 832,140
4. Step 4: Simplify right side
   525,438x = 692,456,979,600
5. Step 5: Solve for x
   x = 692,456,979,600/525,438
6. Step 6: Final answer
   x = 1,317,866.20