Finding the Third Proportional to 297,007.50 and 393,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   297,007.50 : 393,835.50 = 393,835.50 : x
2. Step 2: Convert to fraction form
   297,007.50/393,835.50 = 393,835.50/x
3. Step 3: Cross multiply
   297,007.50x = 393,835.50 × 393,835.50
4. Step 4: Simplify right side
   297,007.50x = 155,106,401,060.25
5. Step 5: Solve for x
   x = 155,106,401,060.25/297,007.50
6. Step 6: Final answer
   x = 522,230.59