Finding the Third Proportional to 211,920 and 317,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   211,920 : 317,881.50 = 317,881.50 : x
2. Step 2: Convert to fraction form
   211,920/317,881.50 = 317,881.50/x
3. Step 3: Cross multiply
   211,920x = 317,881.50 × 317,881.50
4. Step 4: Simplify right side
   211,920x = 101,048,648,042.25
5. Step 5: Solve for x
   x = 101,048,648,042.25/211,920
6. Step 6: Final answer
   x = 476,824.50