Finding the Third Proportional to 123,864 and 271,352

Step by Step Solution

1. Step 1: Write the proportion equation
   123,864 : 271,352 = 271,352 : x
2. Step 2: Convert to fraction form
   123,864/271,352 = 271,352/x
3. Step 3: Cross multiply
   123,864x = 271,352 × 271,352
4. Step 4: Simplify right side
   123,864x = 73,631,907,904
5. Step 5: Solve for x
   x = 73,631,907,904/123,864
6. Step 6: Final answer
   x = 594,457.69