Finding the Third Proportional to 96,144 and 152,088

Step by Step Solution

1. Step 1: Write the proportion equation
   96,144 : 152,088 = 152,088 : x
2. Step 2: Convert to fraction form
   96,144/152,088 = 152,088/x
3. Step 3: Cross multiply
   96,144x = 152,088 × 152,088
4. Step 4: Simplify right side
   96,144x = 23,130,759,744
5. Step 5: Solve for x
   x = 23,130,759,744/96,144
6. Step 6: Final answer
   x = 240,584.54