Finding the Third Proportional to 89,192 and 138,180

Step by Step Solution

1. Step 1: Write the proportion equation
   89,192 : 138,180 = 138,180 : x
2. Step 2: Convert to fraction form
   89,192/138,180 = 138,180/x
3. Step 3: Cross multiply
   89,192x = 138,180 × 138,180
4. Step 4: Simplify right side
   89,192x = 19,093,712,400
5. Step 5: Solve for x
   x = 19,093,712,400/89,192
6. Step 6: Final answer
   x = 214,074.27