Finding the Third Proportional to 85,399 and 123,001

Step by Step Solution

1. Step 1: Write the proportion equation
   85,399 : 123,001 = 123,001 : x
2. Step 2: Convert to fraction form
   85,399/123,001 = 123,001/x
3. Step 3: Cross multiply
   85,399x = 123,001 × 123,001
4. Step 4: Simplify right side
   85,399x = 15,129,246,001
5. Step 5: Solve for x
   x = 15,129,246,001/85,399
6. Step 6: Final answer
   x = 177,159.52