Finding the Third Proportional to 83,848 and 179,704

Step by Step Solution

1. Step 1: Write the proportion equation
   83,848 : 179,704 = 179,704 : x
2. Step 2: Convert to fraction form
   83,848/179,704 = 179,704/x
3. Step 3: Cross multiply
   83,848x = 179,704 × 179,704
4. Step 4: Simplify right side
   83,848x = 32,293,527,616
5. Step 5: Solve for x
   x = 32,293,527,616/83,848
6. Step 6: Final answer
   x = 385,143.68