Finding the Third Proportional to 91,512 and 137,492

Step by Step Solution

1. Step 1: Write the proportion equation
   91,512 : 137,492 = 137,492 : x
2. Step 2: Convert to fraction form
   91,512/137,492 = 137,492/x
3. Step 3: Cross multiply
   91,512x = 137,492 × 137,492
4. Step 4: Simplify right side
   91,512x = 18,904,050,064
5. Step 5: Solve for x
   x = 18,904,050,064/91,512
6. Step 6: Final answer
   x = 206,574.55