Finding the Third Proportional to 76,472.50 and 179,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,472.50 : 179,921.50 = 179,921.50 : x
2. Step 2: Convert to fraction form
   76,472.50/179,921.50 = 179,921.50/x
3. Step 3: Cross multiply
   76,472.50x = 179,921.50 × 179,921.50
4. Step 4: Simplify right side
   76,472.50x = 32,371,746,162.25
5. Step 5: Solve for x
   x = 32,371,746,162.25/76,472.50
6. Step 6: Final answer
   x = 423,312.25