Finding the Third Proportional to 194,376 and 317,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,376 : 317,398.50 = 317,398.50 : x
2. Step 2: Convert to fraction form
   194,376/317,398.50 = 317,398.50/x
3. Step 3: Cross multiply
   194,376x = 317,398.50 × 317,398.50
4. Step 4: Simplify right side
   194,376x = 100,741,807,802.25
5. Step 5: Solve for x
   x = 100,741,807,802.25/194,376
6. Step 6: Final answer
   x = 518,283.16