Finding the Third Proportional to 69,466 and 107,499

Step by Step Solution

1. Step 1: Write the proportion equation
   69,466 : 107,499 = 107,499 : x
2. Step 2: Convert to fraction form
   69,466/107,499 = 107,499/x
3. Step 3: Cross multiply
   69,466x = 107,499 × 107,499
4. Step 4: Simplify right side
   69,466x = 11,556,035,001
5. Step 5: Solve for x
   x = 11,556,035,001/69,466
6. Step 6: Final answer
   x = 166,355.27