Finding the Third Proportional to 53,788 and 109,952

Step by Step Solution

1. Step 1: Write the proportion equation
   53,788 : 109,952 = 109,952 : x
2. Step 2: Convert to fraction form
   53,788/109,952 = 109,952/x
3. Step 3: Cross multiply
   53,788x = 109,952 × 109,952
4. Step 4: Simplify right side
   53,788x = 12,089,442,304
5. Step 5: Solve for x
   x = 12,089,442,304/53,788
6. Step 6: Final answer
   x = 224,760.96