Finding the Third Proportional to 194,380.50 and 317,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,380.50 : 317,407.50 = 317,407.50 : x
2. Step 2: Convert to fraction form
   194,380.50/317,407.50 = 317,407.50/x
3. Step 3: Cross multiply
   194,380.50x = 317,407.50 × 317,407.50
4. Step 4: Simplify right side
   194,380.50x = 100,747,521,056.25
5. Step 5: Solve for x
   x = 100,747,521,056.25/194,380.50
6. Step 6: Final answer
   x = 518,300.56