Finding the Third Proportional to 189,649 and 403,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,649 : 403,433.50 = 403,433.50 : x
2. Step 2: Convert to fraction form
   189,649/403,433.50 = 403,433.50/x
3. Step 3: Cross multiply
   189,649x = 403,433.50 × 403,433.50
4. Step 4: Simplify right side
   189,649x = 162,758,588,922.25
5. Step 5: Solve for x
   x = 162,758,588,922.25/189,649
6. Step 6: Final answer
   x = 858,209.58