Finding the Third Proportional to 101,856 and 152,976

Step by Step Solution

1. Step 1: Write the proportion equation
   101,856 : 152,976 = 152,976 : x
2. Step 2: Convert to fraction form
   101,856/152,976 = 152,976/x
3. Step 3: Cross multiply
   101,856x = 152,976 × 152,976
4. Step 4: Simplify right side
   101,856x = 23,401,656,576
5. Step 5: Solve for x
   x = 23,401,656,576/101,856
6. Step 6: Final answer
   x = 229,752.36