Finding the Third Proportional to 91,866 and 137,799.75

Step by Step Solution

1. Step 1: Write the proportion equation
   91,866 : 137,799.75 = 137,799.75 : x
2. Step 2: Convert to fraction form
   91,866/137,799.75 = 137,799.75/x
3. Step 3: Cross multiply
   91,866x = 137,799.75 × 137,799.75
4. Step 4: Simplify right side
   91,866x = 18,988,771,100.06
5. Step 5: Solve for x
   x = 18,988,771,100.06/91,866
6. Step 6: Final answer
   x = 206,700.75