Finding the Third Proportional to 83,310 and 179,944

Step by Step Solution

1. Step 1: Write the proportion equation
   83,310 : 179,944 = 179,944 : x
2. Step 2: Convert to fraction form
   83,310/179,944 = 179,944/x
3. Step 3: Cross multiply
   83,310x = 179,944 × 179,944
4. Step 4: Simplify right side
   83,310x = 32,379,843,136
5. Step 5: Solve for x
   x = 32,379,843,136/83,310
6. Step 6: Final answer
   x = 388,666.94