Finding the Third Proportional to 199,626 and 432,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,626 : 432,826.50 = 432,826.50 : x
2. Step 2: Convert to fraction form
   199,626/432,826.50 = 432,826.50/x
3. Step 3: Cross multiply
   199,626x = 432,826.50 × 432,826.50
4. Step 4: Simplify right side
   199,626x = 187,338,779,102.25
5. Step 5: Solve for x
   x = 187,338,779,102.25/199,626
6. Step 6: Final answer
   x = 938,448.79