Finding the Third Proportional to 157,644 and 231,858

Step by Step Solution

1. Step 1: Write the proportion equation
   157,644 : 231,858 = 231,858 : x
2. Step 2: Convert to fraction form
   157,644/231,858 = 231,858/x
3. Step 3: Cross multiply
   157,644x = 231,858 × 231,858
4. Step 4: Simplify right side
   157,644x = 53,758,132,164
5. Step 5: Solve for x
   x = 53,758,132,164/157,644
6. Step 6: Final answer
   x = 341,009.69