Finding the Third Proportional to 83,466 and 180,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,466 : 180,778.50 = 180,778.50 : x
2. Step 2: Convert to fraction form
   83,466/180,778.50 = 180,778.50/x
3. Step 3: Cross multiply
   83,466x = 180,778.50 × 180,778.50
4. Step 4: Simplify right side
   83,466x = 32,680,866,062.25
5. Step 5: Solve for x
   x = 32,680,866,062.25/83,466
6. Step 6: Final answer
   x = 391,547.05