Finding the Third Proportional to 91,864 and 137,795

Step by Step Solution

1. Step 1: Write the proportion equation
   91,864 : 137,795 = 137,795 : x
2. Step 2: Convert to fraction form
   91,864/137,795 = 137,795/x
3. Step 3: Cross multiply
   91,864x = 137,795 × 137,795
4. Step 4: Simplify right side
   91,864x = 18,987,462,025
5. Step 5: Solve for x
   x = 18,987,462,025/91,864
6. Step 6: Final answer
   x = 206,691.00