Finding the Third Proportional to 42,056 and 86,208

Step by Step Solution

1. Step 1: Write the proportion equation
   42,056 : 86,208 = 86,208 : x
2. Step 2: Convert to fraction form
   42,056/86,208 = 86,208/x
3. Step 3: Cross multiply
   42,056x = 86,208 × 86,208
4. Step 4: Simplify right side
   42,056x = 7,431,819,264
5. Step 5: Solve for x
   x = 7,431,819,264/42,056
6. Step 6: Final answer
   x = 176,712.46