Finding the Third Proportional to 300,426 and 463,885.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,426 : 463,885.50 = 463,885.50 : x
2. Step 2: Convert to fraction form
   300,426/463,885.50 = 463,885.50/x
3. Step 3: Cross multiply
   300,426x = 463,885.50 × 463,885.50
4. Step 4: Simplify right side
   300,426x = 215,189,757,110.25
5. Step 5: Solve for x
   x = 215,189,757,110.25/300,426
6. Step 6: Final answer
   x = 716,282.07