Finding the Third Proportional to 78,148 and 171,200

Step by Step Solution

1. Step 1: Write the proportion equation
   78,148 : 171,200 = 171,200 : x
2. Step 2: Convert to fraction form
   78,148/171,200 = 171,200/x
3. Step 3: Cross multiply
   78,148x = 171,200 × 171,200
4. Step 4: Simplify right side
   78,148x = 29,309,440,000
5. Step 5: Solve for x
   x = 29,309,440,000/78,148
6. Step 6: Final answer
   x = 375,050.42