Finding the Third Proportional to 147,648 and 223,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,648 : 223,234.50 = 223,234.50 : x
2. Step 2: Convert to fraction form
   147,648/223,234.50 = 223,234.50/x
3. Step 3: Cross multiply
   147,648x = 223,234.50 × 223,234.50
4. Step 4: Simplify right side
   147,648x = 49,833,641,990.25
5. Step 5: Solve for x
   x = 49,833,641,990.25/147,648
6. Step 6: Final answer
   x = 337,516.54