Finding the Third Proportional to 105,024 and 253,440

Step by Step Solution

1. Step 1: Write the proportion equation
   105,024 : 253,440 = 253,440 : x
2. Step 2: Convert to fraction form
   105,024/253,440 = 253,440/x
3. Step 3: Cross multiply
   105,024x = 253,440 × 253,440
4. Step 4: Simplify right side
   105,024x = 64,231,833,600
5. Step 5: Solve for x
   x = 64,231,833,600/105,024
6. Step 6: Final answer
   x = 611,591.96