Finding the Third Proportional to 120,389 and 161,061

Step by Step Solution

1. Step 1: Write the proportion equation
   120,389 : 161,061 = 161,061 : x
2. Step 2: Convert to fraction form
   120,389/161,061 = 161,061/x
3. Step 3: Cross multiply
   120,389x = 161,061 × 161,061
4. Step 4: Simplify right side
   120,389x = 25,940,645,721
5. Step 5: Solve for x
   x = 25,940,645,721/120,389
6. Step 6: Final answer
   x = 215,473.55