Finding the Third Proportional to 302,877 and 468,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,877 : 468,919.50 = 468,919.50 : x
2. Step 2: Convert to fraction form
   302,877/468,919.50 = 468,919.50/x
3. Step 3: Cross multiply
   302,877x = 468,919.50 × 468,919.50
4. Step 4: Simplify right side
   302,877x = 219,885,497,480.25
5. Step 5: Solve for x
   x = 219,885,497,480.25/302,877
6. Step 6: Final answer
   x = 725,989.42