Finding the Third Proportional to 155,261 and 219,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   155,261 : 219,738.50 = 219,738.50 : x
2. Step 2: Convert to fraction form
   155,261/219,738.50 = 219,738.50/x
3. Step 3: Cross multiply
   155,261x = 219,738.50 × 219,738.50
4. Step 4: Simplify right side
   155,261x = 48,285,008,382.25
5. Step 5: Solve for x
   x = 48,285,008,382.25/155,261
6. Step 6: Final answer
   x = 310,992.51