Finding the Third Proportional to 156,082 and 233,695

Step by Step Solution

1. Step 1: Write the proportion equation
   156,082 : 233,695 = 233,695 : x
2. Step 2: Convert to fraction form
   156,082/233,695 = 233,695/x
3. Step 3: Cross multiply
   156,082x = 233,695 × 233,695
4. Step 4: Simplify right side
   156,082x = 54,613,353,025
5. Step 5: Solve for x
   x = 54,613,353,025/156,082
6. Step 6: Final answer
   x = 349,901.67