Finding the Third Proportional to 157,746 and 238,500

Step by Step Solution

1. Step 1: Write the proportion equation
   157,746 : 238,500 = 238,500 : x
2. Step 2: Convert to fraction form
   157,746/238,500 = 238,500/x
3. Step 3: Cross multiply
   157,746x = 238,500 × 238,500
4. Step 4: Simplify right side
   157,746x = 56,882,250,000
5. Step 5: Solve for x
   x = 56,882,250,000/157,746
6. Step 6: Final answer
   x = 360,593.93