Finding the Third Proportional to 82,442 and 153,100

Step by Step Solution

1. Step 1: Write the proportion equation
   82,442 : 153,100 = 153,100 : x
2. Step 2: Convert to fraction form
   82,442/153,100 = 153,100/x
3. Step 3: Cross multiply
   82,442x = 153,100 × 153,100
4. Step 4: Simplify right side
   82,442x = 23,439,610,000
5. Step 5: Solve for x
   x = 23,439,610,000/82,442
6. Step 6: Final answer
   x = 284,316.37