Finding the Third Proportional to 89,099 and 138,410

Step by Step Solution

1. Step 1: Write the proportion equation
   89,099 : 138,410 = 138,410 : x
2. Step 2: Convert to fraction form
   89,099/138,410 = 138,410/x
3. Step 3: Cross multiply
   89,099x = 138,410 × 138,410
4. Step 4: Simplify right side
   89,099x = 19,157,328,100
5. Step 5: Solve for x
   x = 19,157,328,100/89,099
6. Step 6: Final answer
   x = 215,011.71