Finding the Third Proportional to 105,024 and 153,408

Step by Step Solution

1. Step 1: Write the proportion equation
   105,024 : 153,408 = 153,408 : x
2. Step 2: Convert to fraction form
   105,024/153,408 = 153,408/x
3. Step 3: Cross multiply
   105,024x = 153,408 × 153,408
4. Step 4: Simplify right side
   105,024x = 23,534,014,464
5. Step 5: Solve for x
   x = 23,534,014,464/105,024
6. Step 6: Final answer
   x = 224,082.25