Finding the Third Proportional to 199,023 and 298,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,023 : 298,411.50 = 298,411.50 : x
2. Step 2: Convert to fraction form
   199,023/298,411.50 = 298,411.50/x
3. Step 3: Cross multiply
   199,023x = 298,411.50 × 298,411.50
4. Step 4: Simplify right side
   199,023x = 89,049,423,332.25
5. Step 5: Solve for x
   x = 89,049,423,332.25/199,023
6. Step 6: Final answer
   x = 447,432.83