Finding the Third Proportional to 241,830 and 381,295.50

Step by Step Solution

1. Step 1: Write the proportion equation
   241,830 : 381,295.50 = 381,295.50 : x
2. Step 2: Convert to fraction form
   241,830/381,295.50 = 381,295.50/x
3. Step 3: Cross multiply
   241,830x = 381,295.50 × 381,295.50
4. Step 4: Simplify right side
   241,830x = 145,386,258,320.25
5. Step 5: Solve for x
   x = 145,386,258,320.25/241,830
6. Step 6: Final answer
   x = 601,191.99