Finding the Third Proportional to 53,774 and 118,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,774 : 118,132.50 = 118,132.50 : x
2. Step 2: Convert to fraction form
   53,774/118,132.50 = 118,132.50/x
3. Step 3: Cross multiply
   53,774x = 118,132.50 × 118,132.50
4. Step 4: Simplify right side
   53,774x = 13,955,287,556.25
5. Step 5: Solve for x
   x = 13,955,287,556.25/53,774
6. Step 6: Final answer
   x = 259,517.38