Finding the Third Proportional to 53,260 and 116,053

Step by Step Solution

1. Step 1: Write the proportion equation
   53,260 : 116,053 = 116,053 : x
2. Step 2: Convert to fraction form
   53,260/116,053 = 116,053/x
3. Step 3: Cross multiply
   53,260x = 116,053 × 116,053
4. Step 4: Simplify right side
   53,260x = 13,468,298,809
5. Step 5: Solve for x
   x = 13,468,298,809/53,260
6. Step 6: Final answer
   x = 252,878.31