Finding the Third Proportional to 156,978 and 322,298

Step by Step Solution

1. Step 1: Write the proportion equation
   156,978 : 322,298 = 322,298 : x
2. Step 2: Convert to fraction form
   156,978/322,298 = 322,298/x
3. Step 3: Cross multiply
   156,978x = 322,298 × 322,298
4. Step 4: Simplify right side
   156,978x = 103,876,000,804
5. Step 5: Solve for x
   x = 103,876,000,804/156,978
6. Step 6: Final answer
   x = 661,723.30