Finding the Third Proportional to 308,977.50 and 413,834.25

Step by Step Solution

1. Step 1: Write the proportion equation
   308,977.50 : 413,834.25 = 413,834.25 : x
2. Step 2: Convert to fraction form
   308,977.50/413,834.25 = 413,834.25/x
3. Step 3: Cross multiply
   308,977.50x = 413,834.25 × 413,834.25
4. Step 4: Simplify right side
   308,977.50x = 171,258,786,473.06
5. Step 5: Solve for x
   x = 171,258,786,473.06/308,977.50
6. Step 6: Final answer
   x = 554,275.91