Finding the Third Proportional to 42,608 and 86,912

Step by Step Solution

1. Step 1: Write the proportion equation
   42,608 : 86,912 = 86,912 : x
2. Step 2: Convert to fraction form
   42,608/86,912 = 86,912/x
3. Step 3: Cross multiply
   42,608x = 86,912 × 86,912
4. Step 4: Simplify right side
   42,608x = 7,553,695,744
5. Step 5: Solve for x
   x = 7,553,695,744/42,608
6. Step 6: Final answer
   x = 177,283.51