Finding the Third Proportional to 53,700 and 116,628

Step by Step Solution

1. Step 1: Write the proportion equation
   53,700 : 116,628 = 116,628 : x
2. Step 2: Convert to fraction form
   53,700/116,628 = 116,628/x
3. Step 3: Cross multiply
   53,700x = 116,628 × 116,628
4. Step 4: Simplify right side
   53,700x = 13,602,090,384
5. Step 5: Solve for x
   x = 13,602,090,384/53,700
6. Step 6: Final answer
   x = 253,297.77