Finding the Third Proportional to 83,478 and 185,616

Step by Step Solution

1. Step 1: Write the proportion equation
   83,478 : 185,616 = 185,616 : x
2. Step 2: Convert to fraction form
   83,478/185,616 = 185,616/x
3. Step 3: Cross multiply
   83,478x = 185,616 × 185,616
4. Step 4: Simplify right side
   83,478x = 34,453,299,456
5. Step 5: Solve for x
   x = 34,453,299,456/83,478
6. Step 6: Final answer
   x = 412,723.11