Finding the Third Proportional to 157,832 and 238,380

Step by Step Solution

1. Step 1: Write the proportion equation
   157,832 : 238,380 = 238,380 : x
2. Step 2: Convert to fraction form
   157,832/238,380 = 238,380/x
3. Step 3: Cross multiply
   157,832x = 238,380 × 238,380
4. Step 4: Simplify right side
   157,832x = 56,825,024,400
5. Step 5: Solve for x
   x = 56,825,024,400/157,832
6. Step 6: Final answer
   x = 360,034.88