Finding the Third Proportional to 83,144 and 172,200

Step by Step Solution

1. Step 1: Write the proportion equation
   83,144 : 172,200 = 172,200 : x
2. Step 2: Convert to fraction form
   83,144/172,200 = 172,200/x
3. Step 3: Cross multiply
   83,144x = 172,200 × 172,200
4. Step 4: Simplify right side
   83,144x = 29,652,840,000
5. Step 5: Solve for x
   x = 29,652,840,000/83,144
6. Step 6: Final answer
   x = 356,644.38