Finding the Third Proportional to 208,023 and 297,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   208,023 : 297,280.50 = 297,280.50 : x
2. Step 2: Convert to fraction form
   208,023/297,280.50 = 297,280.50/x
3. Step 3: Cross multiply
   208,023x = 297,280.50 × 297,280.50
4. Step 4: Simplify right side
   208,023x = 88,375,695,680.25
5. Step 5: Solve for x
   x = 88,375,695,680.25/208,023
6. Step 6: Final answer
   x = 424,836.18