Finding the Third Proportional to 89,481 and 137,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,481 : 137,029.50 = 137,029.50 : x
2. Step 2: Convert to fraction form
   89,481/137,029.50 = 137,029.50/x
3. Step 3: Cross multiply
   89,481x = 137,029.50 × 137,029.50
4. Step 4: Simplify right side
   89,481x = 18,777,083,870.25
5. Step 5: Solve for x
   x = 18,777,083,870.25/89,481
6. Step 6: Final answer
   x = 209,844.37