Finding the Third Proportional to 69,698 and 105,195

Step by Step Solution

1. Step 1: Write the proportion equation
   69,698 : 105,195 = 105,195 : x
2. Step 2: Convert to fraction form
   69,698/105,195 = 105,195/x
3. Step 3: Cross multiply
   69,698x = 105,195 × 105,195
4. Step 4: Simplify right side
   69,698x = 11,065,988,025
5. Step 5: Solve for x
   x = 11,065,988,025/69,698
6. Step 6: Final answer
   x = 158,770.52