Finding the Third Proportional to 310,854 and 464,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   310,854 : 464,356.50 = 464,356.50 : x
2. Step 2: Convert to fraction form
   310,854/464,356.50 = 464,356.50/x
3. Step 3: Cross multiply
   310,854x = 464,356.50 × 464,356.50
4. Step 4: Simplify right side
   310,854x = 215,626,959,092.25
5. Step 5: Solve for x
   x = 215,626,959,092.25/310,854
6. Step 6: Final answer
   x = 693,659.91