Finding the Third Proportional to 89,154 and 138,492

Step by Step Solution

1. Step 1: Write the proportion equation
   89,154 : 138,492 = 138,492 : x
2. Step 2: Convert to fraction form
   89,154/138,492 = 138,492/x
3. Step 3: Cross multiply
   89,154x = 138,492 × 138,492
4. Step 4: Simplify right side
   89,154x = 19,180,034,064
5. Step 5: Solve for x
   x = 19,180,034,064/89,154
6. Step 6: Final answer
   x = 215,133.75