Finding the Third Proportional to 42,624 and 86,944

Step by Step Solution

1. Step 1: Write the proportion equation
   42,624 : 86,944 = 86,944 : x
2. Step 2: Convert to fraction form
   42,624/86,944 = 86,944/x
3. Step 3: Cross multiply
   42,624x = 86,944 × 86,944
4. Step 4: Simplify right side
   42,624x = 7,559,259,136
5. Step 5: Solve for x
   x = 7,559,259,136/42,624
6. Step 6: Final answer
   x = 177,347.48