Finding the Third Proportional to 214,665.75 and 315,434.81

Step by Step Solution

1. Step 1: Write the proportion equation
   214,665.75 : 315,434.81 = 315,434.81 : x
2. Step 2: Convert to fraction form
   214,665.75/315,434.81 = 315,434.81/x
3. Step 3: Cross multiply
   214,665.75x = 315,434.81 × 315,434.81
4. Step 4: Simplify right side
   214,665.75x = 99,499,120,936.91
5. Step 5: Solve for x
   x = 99,499,120,936.91/214,665.75
6. Step 6: Final answer
   x = 463,507.20