Finding the Third Proportional to 82,440 and 153,096

Step by Step Solution

1. Step 1: Write the proportion equation
   82,440 : 153,096 = 153,096 : x
2. Step 2: Convert to fraction form
   82,440/153,096 = 153,096/x
3. Step 3: Cross multiply
   82,440x = 153,096 × 153,096
4. Step 4: Simplify right side
   82,440x = 23,438,385,216
5. Step 5: Solve for x
   x = 23,438,385,216/82,440
6. Step 6: Final answer
   x = 284,308.41