Finding the Third Proportional to 101,880 and 240,864

Step by Step Solution

1. Step 1: Write the proportion equation
   101,880 : 240,864 = 240,864 : x
2. Step 2: Convert to fraction form
   101,880/240,864 = 240,864/x
3. Step 3: Cross multiply
   101,880x = 240,864 × 240,864
4. Step 4: Simplify right side
   101,880x = 58,015,466,496
5. Step 5: Solve for x
   x = 58,015,466,496/101,880
6. Step 6: Final answer
   x = 569,449.02