Finding the Third Proportional to 156,938 and 322,145

Step by Step Solution

1. Step 1: Write the proportion equation
   156,938 : 322,145 = 322,145 : x
2. Step 2: Convert to fraction form
   156,938/322,145 = 322,145/x
3. Step 3: Cross multiply
   156,938x = 322,145 × 322,145
4. Step 4: Simplify right side
   156,938x = 103,777,401,025
5. Step 5: Solve for x
   x = 103,777,401,025/156,938
6. Step 6: Final answer
   x = 661,263.69