Finding the Third Proportional to 89,119 and 121,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,119 : 121,064.50 = 121,064.50 : x
2. Step 2: Convert to fraction form
   89,119/121,064.50 = 121,064.50/x
3. Step 3: Cross multiply
   89,119x = 121,064.50 × 121,064.50
4. Step 4: Simplify right side
   89,119x = 14,656,613,160.25
5. Step 5: Solve for x
   x = 14,656,613,160.25/89,119
6. Step 6: Final answer
   x = 164,461.15