Finding the Third Proportional to 89,620.50 and 137,564

Step by Step Solution

1. Step 1: Write the proportion equation
   89,620.50 : 137,564 = 137,564 : x
2. Step 2: Convert to fraction form
   89,620.50/137,564 = 137,564/x
3. Step 3: Cross multiply
   89,620.50x = 137,564 × 137,564
4. Step 4: Simplify right side
   89,620.50x = 18,923,854,096
5. Step 5: Solve for x
   x = 18,923,854,096/89,620.50
6. Step 6: Final answer
   x = 211,155.42