Finding the Third Proportional to 614,142 and 947,457

Step by Step Solution

1. Step 1: Write the proportion equation
   614,142 : 947,457 = 947,457 : x
2. Step 2: Convert to fraction form
   614,142/947,457 = 947,457/x
3. Step 3: Cross multiply
   614,142x = 947,457 × 947,457
4. Step 4: Simplify right side
   614,142x = 897,674,766,849
5. Step 5: Solve for x
   x = 897,674,766,849/614,142
6. Step 6: Final answer
   x = 1,461,672.98