Finding the Third Proportional to 316,959 and 431,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   316,959 : 431,698.50 = 431,698.50 : x
2. Step 2: Convert to fraction form
   316,959/431,698.50 = 431,698.50/x
3. Step 3: Cross multiply
   316,959x = 431,698.50 × 431,698.50
4. Step 4: Simplify right side
   316,959x = 186,363,594,902.25
5. Step 5: Solve for x
   x = 186,363,594,902.25/316,959
6. Step 6: Final answer
   x = 587,973.82