Finding the Third Proportional to 53,553 and 116,633.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,553 : 116,633.25 = 116,633.25 : x
2. Step 2: Convert to fraction form
   53,553/116,633.25 = 116,633.25/x
3. Step 3: Cross multiply
   53,553x = 116,633.25 × 116,633.25
4. Step 4: Simplify right side
   53,553x = 13,603,315,005.56
5. Step 5: Solve for x
   x = 13,603,315,005.56/53,553
6. Step 6: Final answer
   x = 254,015.93