Finding the Third Proportional to 76,666.50 and 179,076

Step by Step Solution

1. Step 1: Write the proportion equation
   76,666.50 : 179,076 = 179,076 : x
2. Step 2: Convert to fraction form
   76,666.50/179,076 = 179,076/x
3. Step 3: Cross multiply
   76,666.50x = 179,076 × 179,076
4. Step 4: Simplify right side
   76,666.50x = 32,068,213,776
5. Step 5: Solve for x
   x = 32,068,213,776/76,666.50
6. Step 6: Final answer
   x = 418,281.96