Finding the Third Proportional to 81,612 and 178,200

Step by Step Solution

1. Step 1: Write the proportion equation
   81,612 : 178,200 = 178,200 : x
2. Step 2: Convert to fraction form
   81,612/178,200 = 178,200/x
3. Step 3: Cross multiply
   81,612x = 178,200 × 178,200
4. Step 4: Simplify right side
   81,612x = 31,755,240,000
5. Step 5: Solve for x
   x = 31,755,240,000/81,612
6. Step 6: Final answer
   x = 389,100.13