Finding the Third Proportional to 76,665.38 and 179,076.75

Step by Step Solution

1. Step 1: Write the proportion equation
   76,665.38 : 179,076.75 = 179,076.75 : x
2. Step 2: Convert to fraction form
   76,665.38/179,076.75 = 179,076.75/x
3. Step 3: Cross multiply
   76,665.38x = 179,076.75 × 179,076.75
4. Step 4: Simplify right side
   76,665.38x = 32,068,482,390.56
5. Step 5: Solve for x
   x = 32,068,482,390.56/76,665.38
6. Step 6: Final answer
   x = 418,291.60