Finding the Third Proportional to 525,382 and 832,056

Step by Step Solution

1. Step 1: Write the proportion equation
   525,382 : 832,056 = 832,056 : x
2. Step 2: Convert to fraction form
   525,382/832,056 = 832,056/x
3. Step 3: Cross multiply
   525,382x = 832,056 × 832,056
4. Step 4: Simplify right side
   525,382x = 692,317,187,136
5. Step 5: Solve for x
   x = 692,317,187,136/525,382
6. Step 6: Final answer
   x = 1,317,740.59