Finding the Third Proportional to 50,883 and 108,527

Step by Step Solution

1. Step 1: Write the proportion equation
   50,883 : 108,527 = 108,527 : x
2. Step 2: Convert to fraction form
   50,883/108,527 = 108,527/x
3. Step 3: Cross multiply
   50,883x = 108,527 × 108,527
4. Step 4: Simplify right side
   50,883x = 11,778,109,729
5. Step 5: Solve for x
   x = 11,778,109,729/50,883
6. Step 6: Final answer
   x = 231,474.36