Finding the Third Proportional to 89,056.13 and 137,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,056.13 : 137,821.50 = 137,821.50 : x
2. Step 2: Convert to fraction form
   89,056.13/137,821.50 = 137,821.50/x
3. Step 3: Cross multiply
   89,056.13x = 137,821.50 × 137,821.50
4. Step 4: Simplify right side
   89,056.13x = 18,994,765,862.25
5. Step 5: Solve for x
   x = 18,994,765,862.25/89,056.13
6. Step 6: Final answer
   x = 213,289.83