Finding the Third Proportional to 157,738.50 and 238,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,738.50 : 238,488.50 = 238,488.50 : x
2. Step 2: Convert to fraction form
   157,738.50/238,488.50 = 238,488.50/x
3. Step 3: Cross multiply
   157,738.50x = 238,488.50 × 238,488.50
4. Step 4: Simplify right side
   157,738.50x = 56,876,764,632.25
5. Step 5: Solve for x
   x = 56,876,764,632.25/157,738.50
6. Step 6: Final answer
   x = 360,576.30