Finding the Third Proportional to 152,415 and 231,662

Step by Step Solution

1. Step 1: Write the proportion equation
   152,415 : 231,662 = 231,662 : x
2. Step 2: Convert to fraction form
   152,415/231,662 = 231,662/x
3. Step 3: Cross multiply
   152,415x = 231,662 × 231,662
4. Step 4: Simplify right side
   152,415x = 53,667,282,244
5. Step 5: Solve for x
   x = 53,667,282,244/152,415
6. Step 6: Final answer
   x = 352,112.86