Finding the Third Proportional to 69,144 and 143,160

Step by Step Solution

1. Step 1: Write the proportion equation
   69,144 : 143,160 = 143,160 : x
2. Step 2: Convert to fraction form
   69,144/143,160 = 143,160/x
3. Step 3: Cross multiply
   69,144x = 143,160 × 143,160
4. Step 4: Simplify right side
   69,144x = 20,494,785,600
5. Step 5: Solve for x
   x = 20,494,785,600/69,144
6. Step 6: Final answer
   x = 296,407.29