Finding the Third Proportional to 152,156 and 238,678

Step by Step Solution

1. Step 1: Write the proportion equation
   152,156 : 238,678 = 238,678 : x
2. Step 2: Convert to fraction form
   152,156/238,678 = 238,678/x
3. Step 3: Cross multiply
   152,156x = 238,678 × 238,678
4. Step 4: Simplify right side
   152,156x = 56,967,187,684
5. Step 5: Solve for x
   x = 56,967,187,684/152,156
6. Step 6: Final answer
   x = 374,399.88