Finding the Third Proportional to 91,492 and 137,458

Step by Step Solution

1. Step 1: Write the proportion equation
   91,492 : 137,458 = 137,458 : x
2. Step 2: Convert to fraction form
   91,492/137,458 = 137,458/x
3. Step 3: Cross multiply
   91,492x = 137,458 × 137,458
4. Step 4: Simplify right side
   91,492x = 18,894,701,764
5. Step 5: Solve for x
   x = 18,894,701,764/91,492
6. Step 6: Final answer
   x = 206,517.53