Finding the Third Proportional to 525,420 and 832,113

Step by Step Solution

1. Step 1: Write the proportion equation
   525,420 : 832,113 = 832,113 : x
2. Step 2: Convert to fraction form
   525,420/832,113 = 832,113/x
3. Step 3: Cross multiply
   525,420x = 832,113 × 832,113
4. Step 4: Simplify right side
   525,420x = 692,412,044,769
5. Step 5: Solve for x
   x = 692,412,044,769/525,420
6. Step 6: Final answer
   x = 1,317,825.82