Finding the Third Proportional to 313,845 and 402,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,845 : 402,967.50 = 402,967.50 : x
2. Step 2: Convert to fraction form
   313,845/402,967.50 = 402,967.50/x
3. Step 3: Cross multiply
   313,845x = 402,967.50 × 402,967.50
4. Step 4: Simplify right side
   313,845x = 162,382,806,056.25
5. Step 5: Solve for x
   x = 162,382,806,056.25/313,845
6. Step 6: Final answer
   x = 517,398.10