Finding the Third Proportional to 91,377 and 137,066

Step by Step Solution

1. Step 1: Write the proportion equation
   91,377 : 137,066 = 137,066 : x
2. Step 2: Convert to fraction form
   91,377/137,066 = 137,066/x
3. Step 3: Cross multiply
   91,377x = 137,066 × 137,066
4. Step 4: Simplify right side
   91,377x = 18,787,088,356
5. Step 5: Solve for x
   x = 18,787,088,356/91,377
6. Step 6: Final answer
   x = 205,599.75