Finding the Third Proportional to 91,314 and 137,187

Step by Step Solution

1. Step 1: Write the proportion equation
   91,314 : 137,187 = 137,187 : x
2. Step 2: Convert to fraction form
   91,314/137,187 = 137,187/x
3. Step 3: Cross multiply
   91,314x = 137,187 × 137,187
4. Step 4: Simplify right side
   91,314x = 18,820,272,969
5. Step 5: Solve for x
   x = 18,820,272,969/91,314
6. Step 6: Final answer
   x = 206,105.01