Finding the Third Proportional to 152,212 and 238,767

Step by Step Solution

1. Step 1: Write the proportion equation
   152,212 : 238,767 = 238,767 : x
2. Step 2: Convert to fraction form
   152,212/238,767 = 238,767/x
3. Step 3: Cross multiply
   152,212x = 238,767 × 238,767
4. Step 4: Simplify right side
   152,212x = 57,009,680,289
5. Step 5: Solve for x
   x = 57,009,680,289/152,212
6. Step 6: Final answer
   x = 374,541.30