Finding the Third Proportional to 311,434.50 and 431,424

Step by Step Solution

1. Step 1: Write the proportion equation
   311,434.50 : 431,424 = 431,424 : x
2. Step 2: Convert to fraction form
   311,434.50/431,424 = 431,424/x
3. Step 3: Cross multiply
   311,434.50x = 431,424 × 431,424
4. Step 4: Simplify right side
   311,434.50x = 186,126,667,776
5. Step 5: Solve for x
   x = 186,126,667,776/311,434.50
6. Step 6: Final answer
   x = 597,643.06