Finding the Third Proportional to 176,422.50 and 416,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,422.50 : 416,404.50 = 416,404.50 : x
2. Step 2: Convert to fraction form
   176,422.50/416,404.50 = 416,404.50/x
3. Step 3: Cross multiply
   176,422.50x = 416,404.50 × 416,404.50
4. Step 4: Simplify right side
   176,422.50x = 173,392,707,620.25
5. Step 5: Solve for x
   x = 173,392,707,620.25/176,422.50
6. Step 6: Final answer
   x = 982,826.50