Finding the Third Proportional to 71,872 and 147,200

Step by Step Solution

1. Step 1: Write the proportion equation
   71,872 : 147,200 = 147,200 : x
2. Step 2: Convert to fraction form
   71,872/147,200 = 147,200/x
3. Step 3: Cross multiply
   71,872x = 147,200 × 147,200
4. Step 4: Simplify right side
   71,872x = 21,667,840,000
5. Step 5: Solve for x
   x = 21,667,840,000/71,872
6. Step 6: Final answer
   x = 301,478.18