Finding the Third Proportional to 147,844 and 231,658

Step by Step Solution

1. Step 1: Write the proportion equation
   147,844 : 231,658 = 231,658 : x
2. Step 2: Convert to fraction form
   147,844/231,658 = 231,658/x
3. Step 3: Cross multiply
   147,844x = 231,658 × 231,658
4. Step 4: Simplify right side
   147,844x = 53,665,428,964
5. Step 5: Solve for x
   x = 53,665,428,964/147,844
6. Step 6: Final answer
   x = 362,986.86