Finding the Third Proportional to 309,375 and 492,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,375 : 492,280.50 = 492,280.50 : x
2. Step 2: Convert to fraction form
   309,375/492,280.50 = 492,280.50/x
3. Step 3: Cross multiply
   309,375x = 492,280.50 × 492,280.50
4. Step 4: Simplify right side
   309,375x = 242,340,090,680.25
5. Step 5: Solve for x
   x = 242,340,090,680.25/309,375
6. Step 6: Final answer
   x = 783,321.51