Finding the Third Proportional to 78,311 and 171,930.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,311 : 171,930.50 = 171,930.50 : x
2. Step 2: Convert to fraction form
   78,311/171,930.50 = 171,930.50/x
3. Step 3: Cross multiply
   78,311x = 171,930.50 × 171,930.50
4. Step 4: Simplify right side
   78,311x = 29,560,096,830.25
5. Step 5: Solve for x
   x = 29,560,096,830.25/78,311
6. Step 6: Final answer
   x = 377,470.56