Finding the Third Proportional to 200,354 and 312,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,354 : 312,019.50 = 312,019.50 : x
2. Step 2: Convert to fraction form
   200,354/312,019.50 = 312,019.50/x
3. Step 3: Cross multiply
   200,354x = 312,019.50 × 312,019.50
4. Step 4: Simplify right side
   200,354x = 97,356,168,380.25
5. Step 5: Solve for x
   x = 97,356,168,380.25/200,354
6. Step 6: Final answer
   x = 485,920.76