Finding the Third Proportional to 69,908 and 111,195

Step by Step Solution

1. Step 1: Write the proportion equation
   69,908 : 111,195 = 111,195 : x
2. Step 2: Convert to fraction form
   69,908/111,195 = 111,195/x
3. Step 3: Cross multiply
   69,908x = 111,195 × 111,195
4. Step 4: Simplify right side
   69,908x = 12,364,328,025
5. Step 5: Solve for x
   x = 12,364,328,025/69,908
6. Step 6: Final answer
   x = 176,865.71