Finding the Third Proportional to 300,412 and 463,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,412 : 463,864.50 = 463,864.50 : x
2. Step 2: Convert to fraction form
   300,412/463,864.50 = 463,864.50/x
3. Step 3: Cross multiply
   300,412x = 463,864.50 × 463,864.50
4. Step 4: Simplify right side
   300,412x = 215,170,274,360.25
5. Step 5: Solve for x
   x = 215,170,274,360.25/300,412
6. Step 6: Final answer
   x = 716,250.60