Finding the Third Proportional to 157,674 and 238,150

Step by Step Solution

1. Step 1: Write the proportion equation
   157,674 : 238,150 = 238,150 : x
2. Step 2: Convert to fraction form
   157,674/238,150 = 238,150/x
3. Step 3: Cross multiply
   157,674x = 238,150 × 238,150
4. Step 4: Simplify right side
   157,674x = 56,715,422,500
5. Step 5: Solve for x
   x = 56,715,422,500/157,674
6. Step 6: Final answer
   x = 359,700.54