Finding the Third Proportional to 53,265 and 116,552.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,265 : 116,552.25 = 116,552.25 : x
2. Step 2: Convert to fraction form
   53,265/116,552.25 = 116,552.25/x
3. Step 3: Cross multiply
   53,265x = 116,552.25 × 116,552.25
4. Step 4: Simplify right side
   53,265x = 13,584,426,980.06
5. Step 5: Solve for x
   x = 13,584,426,980.06/53,265
6. Step 6: Final answer
   x = 255,034.77