Finding the Third Proportional to 83,550 and 180,418.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,550 : 180,418.50 = 180,418.50 : x
2. Step 2: Convert to fraction form
   83,550/180,418.50 = 180,418.50/x
3. Step 3: Cross multiply
   83,550x = 180,418.50 × 180,418.50
4. Step 4: Simplify right side
   83,550x = 32,550,835,142.25
5. Step 5: Solve for x
   x = 32,550,835,142.25/83,550
6. Step 6: Final answer
   x = 389,597.07