Finding the Third Proportional to 309,372 and 492,276.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,372 : 492,276.50 = 492,276.50 : x
2. Step 2: Convert to fraction form
   309,372/492,276.50 = 492,276.50/x
3. Step 3: Cross multiply
   309,372x = 492,276.50 × 492,276.50
4. Step 4: Simplify right side
   309,372x = 242,336,152,452.25
5. Step 5: Solve for x
   x = 242,336,152,452.25/309,372
6. Step 6: Final answer
   x = 783,316.37