Finding the Third Proportional to 101,144 and 152,040

Step by Step Solution

1. Step 1: Write the proportion equation
   101,144 : 152,040 = 152,040 : x
2. Step 2: Convert to fraction form
   101,144/152,040 = 152,040/x
3. Step 3: Cross multiply
   101,144x = 152,040 × 152,040
4. Step 4: Simplify right side
   101,144x = 23,116,161,600
5. Step 5: Solve for x
   x = 23,116,161,600/101,144
6. Step 6: Final answer
   x = 228,547.04