Finding the Third Proportional to 194,493 and 317,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,493 : 317,581.50 = 317,581.50 : x
2. Step 2: Convert to fraction form
   194,493/317,581.50 = 317,581.50/x
3. Step 3: Cross multiply
   194,493x = 317,581.50 × 317,581.50
4. Step 4: Simplify right side
   194,493x = 100,858,009,142.25
5. Step 5: Solve for x
   x = 100,858,009,142.25/194,493
6. Step 6: Final answer
   x = 518,568.84