Finding the Third Proportional to 89,288 and 121,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,288 : 121,264.50 = 121,264.50 : x
2. Step 2: Convert to fraction form
   89,288/121,264.50 = 121,264.50/x
3. Step 3: Cross multiply
   89,288x = 121,264.50 × 121,264.50
4. Step 4: Simplify right side
   89,288x = 14,705,078,960.25
5. Step 5: Solve for x
   x = 14,705,078,960.25/89,288
6. Step 6: Final answer
   x = 164,692.67