Finding the Third Proportional to 83,524.50 and 180,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,524.50 : 180,184.50 = 180,184.50 : x
2. Step 2: Convert to fraction form
   83,524.50/180,184.50 = 180,184.50/x
3. Step 3: Cross multiply
   83,524.50x = 180,184.50 × 180,184.50
4. Step 4: Simplify right side
   83,524.50x = 32,466,454,040.25
5. Step 5: Solve for x
   x = 32,466,454,040.25/83,524.50
6. Step 6: Final answer
   x = 388,705.76