Finding the Third Proportional to 137,110 and 305,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,110 : 305,728.50 = 305,728.50 : x
2. Step 2: Convert to fraction form
   137,110/305,728.50 = 305,728.50/x
3. Step 3: Cross multiply
   137,110x = 305,728.50 × 305,728.50
4. Step 4: Simplify right side
   137,110x = 93,469,915,712.25
5. Step 5: Solve for x
   x = 93,469,915,712.25/137,110
6. Step 6: Final answer
   x = 681,714.80