Finding the Third Proportional to 108,166 and 161,349

Step by Step Solution

1. Step 1: Write the proportion equation
   108,166 : 161,349 = 161,349 : x
2. Step 2: Convert to fraction form
   108,166/161,349 = 161,349/x
3. Step 3: Cross multiply
   108,166x = 161,349 × 161,349
4. Step 4: Simplify right side
   108,166x = 26,033,499,801
5. Step 5: Solve for x
   x = 26,033,499,801/108,166
6. Step 6: Final answer
   x = 240,680.99