Finding the Third Proportional to 42,004 and 87,080

Step by Step Solution

1. Step 1: Write the proportion equation
   42,004 : 87,080 = 87,080 : x
2. Step 2: Convert to fraction form
   42,004/87,080 = 87,080/x
3. Step 3: Cross multiply
   42,004x = 87,080 × 87,080
4. Step 4: Simplify right side
   42,004x = 7,582,926,400
5. Step 5: Solve for x
   x = 7,582,926,400/42,004
6. Step 6: Final answer
   x = 180,528.67