Finding the Third Proportional to 53,097 and 116,040

Step by Step Solution

1. Step 1: Write the proportion equation
   53,097 : 116,040 = 116,040 : x
2. Step 2: Convert to fraction form
   53,097/116,040 = 116,040/x
3. Step 3: Cross multiply
   53,097x = 116,040 × 116,040
4. Step 4: Simplify right side
   53,097x = 13,465,281,600
5. Step 5: Solve for x
   x = 13,465,281,600/53,097
6. Step 6: Final answer
   x = 253,597.79