Finding the Third Proportional to 123,358 and 268,992

Step by Step Solution

1. Step 1: Write the proportion equation
   123,358 : 268,992 = 268,992 : x
2. Step 2: Convert to fraction form
   123,358/268,992 = 268,992/x
3. Step 3: Cross multiply
   123,358x = 268,992 × 268,992
4. Step 4: Simplify right side
   123,358x = 72,356,696,064
5. Step 5: Solve for x
   x = 72,356,696,064/123,358
6. Step 6: Final answer
   x = 586,558.60