Finding the Third Proportional to 152,865 and 231,606

Step by Step Solution

1. Step 1: Write the proportion equation
   152,865 : 231,606 = 231,606 : x
2. Step 2: Convert to fraction form
   152,865/231,606 = 231,606/x
3. Step 3: Cross multiply
   152,865x = 231,606 × 231,606
4. Step 4: Simplify right side
   152,865x = 53,641,339,236
5. Step 5: Solve for x
   x = 53,641,339,236/152,865
6. Step 6: Final answer
   x = 350,906.61