Finding the Third Proportional to 89,848 and 138,520

Step by Step Solution

1. Step 1: Write the proportion equation
   89,848 : 138,520 = 138,520 : x
2. Step 2: Convert to fraction form
   89,848/138,520 = 138,520/x
3. Step 3: Cross multiply
   89,848x = 138,520 × 138,520
4. Step 4: Simplify right side
   89,848x = 19,187,790,400
5. Step 5: Solve for x
   x = 19,187,790,400/89,848
6. Step 6: Final answer
   x = 213,558.35