Finding the Third Proportional to 89,294 and 138,140

Step by Step Solution

1. Step 1: Write the proportion equation
   89,294 : 138,140 = 138,140 : x
2. Step 2: Convert to fraction form
   89,294/138,140 = 138,140/x
3. Step 3: Cross multiply
   89,294x = 138,140 × 138,140
4. Step 4: Simplify right side
   89,294x = 19,082,659,600
5. Step 5: Solve for x
   x = 19,082,659,600/89,294
6. Step 6: Final answer
   x = 213,705.96