Finding the Third Proportional to 107,642 and 161,499

Step by Step Solution

1. Step 1: Write the proportion equation
   107,642 : 161,499 = 161,499 : x
2. Step 2: Convert to fraction form
   107,642/161,499 = 161,499/x
3. Step 3: Cross multiply
   107,642x = 161,499 × 161,499
4. Step 4: Simplify right side
   107,642x = 26,081,927,001
5. Step 5: Solve for x
   x = 26,081,927,001/107,642
6. Step 6: Final answer
   x = 242,302.51