Finding the Third Proportional to 309,433.50 and 492,358.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,433.50 : 492,358.50 = 492,358.50 : x
2. Step 2: Convert to fraction form
   309,433.50/492,358.50 = 492,358.50/x
3. Step 3: Cross multiply
   309,433.50x = 492,358.50 × 492,358.50
4. Step 4: Simplify right side
   309,433.50x = 242,416,892,522.25
5. Step 5: Solve for x
   x = 242,416,892,522.25/309,433.50
6. Step 6: Final answer
   x = 783,421.62