Finding the Third Proportional to 89,451 and 121,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,451 : 121,054.50 = 121,054.50 : x
2. Step 2: Convert to fraction form
   89,451/121,054.50 = 121,054.50/x
3. Step 3: Cross multiply
   89,451x = 121,054.50 × 121,054.50
4. Step 4: Simplify right side
   89,451x = 14,654,191,970.25
5. Step 5: Solve for x
   x = 14,654,191,970.25/89,451
6. Step 6: Final answer
   x = 163,823.68