Finding the Third Proportional to 156,926 and 322,114

Step by Step Solution

1. Step 1: Write the proportion equation
   156,926 : 322,114 = 322,114 : x
2. Step 2: Convert to fraction form
   156,926/322,114 = 322,114/x
3. Step 3: Cross multiply
   156,926x = 322,114 × 322,114
4. Step 4: Simplify right side
   156,926x = 103,757,428,996
5. Step 5: Solve for x
   x = 103,757,428,996/156,926
6. Step 6: Final answer
   x = 661,186.99