Finding the Third Proportional to 89,314 and 138,234

Step by Step Solution

1. Step 1: Write the proportion equation
   89,314 : 138,234 = 138,234 : x
2. Step 2: Convert to fraction form
   89,314/138,234 = 138,234/x
3. Step 3: Cross multiply
   89,314x = 138,234 × 138,234
4. Step 4: Simplify right side
   89,314x = 19,108,638,756
5. Step 5: Solve for x
   x = 19,108,638,756/89,314
6. Step 6: Final answer
   x = 213,948.98