Finding the Third Proportional to 208,006.50 and 297,243

Step by Step Solution

1. Step 1: Write the proportion equation
   208,006.50 : 297,243 = 297,243 : x
2. Step 2: Convert to fraction form
   208,006.50/297,243 = 297,243/x
3. Step 3: Cross multiply
   208,006.50x = 297,243 × 297,243
4. Step 4: Simplify right side
   208,006.50x = 88,353,401,049
5. Step 5: Solve for x
   x = 88,353,401,049/208,006.50
6. Step 6: Final answer
   x = 424,762.69