Finding the Third Proportional to 123,088 and 268,352

Step by Step Solution

1. Step 1: Write the proportion equation
   123,088 : 268,352 = 268,352 : x
2. Step 2: Convert to fraction form
   123,088/268,352 = 268,352/x
3. Step 3: Cross multiply
   123,088x = 268,352 × 268,352
4. Step 4: Simplify right side
   123,088x = 72,012,795,904
5. Step 5: Solve for x
   x = 72,012,795,904/123,088
6. Step 6: Final answer
   x = 585,051.31