Finding the Third Proportional to 194,403 and 300,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,403 : 300,217.50 = 300,217.50 : x
2. Step 2: Convert to fraction form
   194,403/300,217.50 = 300,217.50/x
3. Step 3: Cross multiply
   194,403x = 300,217.50 × 300,217.50
4. Step 4: Simplify right side
   194,403x = 90,130,547,306.25
5. Step 5: Solve for x
   x = 90,130,547,306.25/194,403
6. Step 6: Final answer
   x = 463,627.35