Finding the Third Proportional to 69,902 and 111,186

Step by Step Solution

1. Step 1: Write the proportion equation
   69,902 : 111,186 = 111,186 : x
2. Step 2: Convert to fraction form
   69,902/111,186 = 111,186/x
3. Step 3: Cross multiply
   69,902x = 111,186 × 111,186
4. Step 4: Simplify right side
   69,902x = 12,362,326,596
5. Step 5: Solve for x
   x = 12,362,326,596/69,902
6. Step 6: Final answer
   x = 176,852.26