Finding the Third Proportional to 83,824.50 and 179,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,824.50 : 179,632.50 = 179,632.50 : x
2. Step 2: Convert to fraction form
   83,824.50/179,632.50 = 179,632.50/x
3. Step 3: Cross multiply
   83,824.50x = 179,632.50 × 179,632.50
4. Step 4: Simplify right side
   83,824.50x = 32,267,835,056.25
5. Step 5: Solve for x
   x = 32,267,835,056.25/83,824.50
6. Step 6: Final answer
   x = 384,945.15