Finding the Third Proportional to 318,919 and 493,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   318,919 : 493,498.50 = 493,498.50 : x
2. Step 2: Convert to fraction form
   318,919/493,498.50 = 493,498.50/x
3. Step 3: Cross multiply
   318,919x = 493,498.50 × 493,498.50
4. Step 4: Simplify right side
   318,919x = 243,540,769,502.25
5. Step 5: Solve for x
   x = 243,540,769,502.25/318,919
6. Step 6: Final answer
   x = 763,644.59