Finding the Third Proportional to 89,308 and 121,288

Step by Step Solution

1. Step 1: Write the proportion equation
   89,308 : 121,288 = 121,288 : x
2. Step 2: Convert to fraction form
   89,308/121,288 = 121,288/x
3. Step 3: Cross multiply
   89,308x = 121,288 × 121,288
4. Step 4: Simplify right side
   89,308x = 14,710,778,944
5. Step 5: Solve for x
   x = 14,710,778,944/89,308
6. Step 6: Final answer
   x = 164,719.61