Finding the Third Proportional to 309,976.50 and 657,152.25

Step by Step Solution

1. Step 1: Write the proportion equation
   309,976.50 : 657,152.25 = 657,152.25 : x
2. Step 2: Convert to fraction form
   309,976.50/657,152.25 = 657,152.25/x
3. Step 3: Cross multiply
   309,976.50x = 657,152.25 × 657,152.25
4. Step 4: Simplify right side
   309,976.50x = 431,849,079,680.06
5. Step 5: Solve for x
   x = 431,849,079,680.06/309,976.50
6. Step 6: Final answer
   x = 1,393,167.16