Finding the Third Proportional to 51,088 and 109,952

Step by Step Solution

1. Step 1: Write the proportion equation
   51,088 : 109,952 = 109,952 : x
2. Step 2: Convert to fraction form
   51,088/109,952 = 109,952/x
3. Step 3: Cross multiply
   51,088x = 109,952 × 109,952
4. Step 4: Simplify right side
   51,088x = 12,089,442,304
5. Step 5: Solve for x
   x = 12,089,442,304/51,088
6. Step 6: Final answer
   x = 236,639.57