Finding the Third Proportional to 83,446.50 and 180,001.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,446.50 : 180,001.50 = 180,001.50 : x
2. Step 2: Convert to fraction form
   83,446.50/180,001.50 = 180,001.50/x
3. Step 3: Cross multiply
   83,446.50x = 180,001.50 × 180,001.50
4. Step 4: Simplify right side
   83,446.50x = 32,400,540,002.25
5. Step 5: Solve for x
   x = 32,400,540,002.25/83,446.50
6. Step 6: Final answer
   x = 388,279.20