Finding the Third Proportional to 89,293 and 138,350

Step by Step Solution

1. Step 1: Write the proportion equation
   89,293 : 138,350 = 138,350 : x
2. Step 2: Convert to fraction form
   89,293/138,350 = 138,350/x
3. Step 3: Cross multiply
   89,293x = 138,350 × 138,350
4. Step 4: Simplify right side
   89,293x = 19,140,722,500
5. Step 5: Solve for x
   x = 19,140,722,500/89,293
6. Step 6: Final answer
   x = 214,358.60