Finding the Third Proportional to 71,902 and 108,855

Step by Step Solution

1. Step 1: Write the proportion equation
   71,902 : 108,855 = 108,855 : x
2. Step 2: Convert to fraction form
   71,902/108,855 = 108,855/x
3. Step 3: Cross multiply
   71,902x = 108,855 × 108,855
4. Step 4: Simplify right side
   71,902x = 11,849,411,025
5. Step 5: Solve for x
   x = 11,849,411,025/71,902
6. Step 6: Final answer
   x = 164,799.46