Finding the Third Proportional to 53,175 and 116,009.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,175 : 116,009.25 = 116,009.25 : x
2. Step 2: Convert to fraction form
   53,175/116,009.25 = 116,009.25/x
3. Step 3: Cross multiply
   53,175x = 116,009.25 × 116,009.25
4. Step 4: Simplify right side
   53,175x = 13,458,146,085.56
5. Step 5: Solve for x
   x = 13,458,146,085.56/53,175
6. Step 6: Final answer
   x = 253,091.60