Finding the Third Proportional to 123,116 and 265,920

Step by Step Solution

1. Step 1: Write the proportion equation
   123,116 : 265,920 = 265,920 : x
2. Step 2: Convert to fraction form
   123,116/265,920 = 265,920/x
3. Step 3: Cross multiply
   123,116x = 265,920 × 265,920
4. Step 4: Simplify right side
   123,116x = 70,713,446,400
5. Step 5: Solve for x
   x = 70,713,446,400/123,116
6. Step 6: Final answer
   x = 574,364.39