Finding the Third Proportional to 83,666 and 175,944

Step by Step Solution

1. Step 1: Write the proportion equation
   83,666 : 175,944 = 175,944 : x
2. Step 2: Convert to fraction form
   83,666/175,944 = 175,944/x
3. Step 3: Cross multiply
   83,666x = 175,944 × 175,944
4. Step 4: Simplify right side
   83,666x = 30,956,291,136
5. Step 5: Solve for x
   x = 30,956,291,136/83,666
6. Step 6: Final answer
   x = 369,998.46