Finding the Third Proportional to 73,727 and 111,201

Step by Step Solution

1. Step 1: Write the proportion equation
   73,727 : 111,201 = 111,201 : x
2. Step 2: Convert to fraction form
   73,727/111,201 = 111,201/x
3. Step 3: Cross multiply
   73,727x = 111,201 × 111,201
4. Step 4: Simplify right side
   73,727x = 12,365,662,401
5. Step 5: Solve for x
   x = 12,365,662,401/73,727
6. Step 6: Final answer
   x = 167,722.31