Finding the Third Proportional to 238,086 and 317,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,086 : 317,398.50 = 317,398.50 : x
2. Step 2: Convert to fraction form
   238,086/317,398.50 = 317,398.50/x
3. Step 3: Cross multiply
   238,086x = 317,398.50 × 317,398.50
4. Step 4: Simplify right side
   238,086x = 100,741,807,802.25
5. Step 5: Solve for x
   x = 100,741,807,802.25/238,086
6. Step 6: Final answer
   x = 423,132.01