Finding the Third Proportional to 78,199.50 and 171,951

Step by Step Solution

1. Step 1: Write the proportion equation
   78,199.50 : 171,951 = 171,951 : x
2. Step 2: Convert to fraction form
   78,199.50/171,951 = 171,951/x
3. Step 3: Cross multiply
   78,199.50x = 171,951 × 171,951
4. Step 4: Simplify right side
   78,199.50x = 29,567,146,401
5. Step 5: Solve for x
   x = 29,567,146,401/78,199.50
6. Step 6: Final answer
   x = 378,098.92