Finding the Third Proportional to 107,147 and 172,061

Step by Step Solution

1. Step 1: Write the proportion equation
   107,147 : 172,061 = 172,061 : x
2. Step 2: Convert to fraction form
   107,147/172,061 = 172,061/x
3. Step 3: Cross multiply
   107,147x = 172,061 × 172,061
4. Step 4: Simplify right side
   107,147x = 29,604,987,721
5. Step 5: Solve for x
   x = 29,604,987,721/107,147
6. Step 6: Final answer
   x = 276,302.54