Finding the Third Proportional to 270,617 and 384,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   270,617 : 384,643.50 = 384,643.50 : x
2. Step 2: Convert to fraction form
   270,617/384,643.50 = 384,643.50/x
3. Step 3: Cross multiply
   270,617x = 384,643.50 × 384,643.50
4. Step 4: Simplify right side
   270,617x = 147,950,622,092.25
5. Step 5: Solve for x
   x = 147,950,622,092.25/270,617
6. Step 6: Final answer
   x = 546,715.92