Finding the Third Proportional to 83,478 and 185,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,478 : 185,617.50 = 185,617.50 : x
2. Step 2: Convert to fraction form
   83,478/185,617.50 = 185,617.50/x
3. Step 3: Cross multiply
   83,478x = 185,617.50 × 185,617.50
4. Step 4: Simplify right side
   83,478x = 34,453,856,306.25
5. Step 5: Solve for x
   x = 34,453,856,306.25/83,478
6. Step 6: Final answer
   x = 412,729.78