Finding the Third Proportional to 89,616 and 121,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,616 : 121,780.50 = 121,780.50 : x
2. Step 2: Convert to fraction form
   89,616/121,780.50 = 121,780.50/x
3. Step 3: Cross multiply
   89,616x = 121,780.50 × 121,780.50
4. Step 4: Simplify right side
   89,616x = 14,830,490,180.25
5. Step 5: Solve for x
   x = 14,830,490,180.25/89,616
6. Step 6: Final answer
   x = 165,489.31