Finding the Third Proportional to 53,684 and 114,298

Step by Step Solution

1. Step 1: Write the proportion equation
   53,684 : 114,298 = 114,298 : x
2. Step 2: Convert to fraction form
   53,684/114,298 = 114,298/x
3. Step 3: Cross multiply
   53,684x = 114,298 × 114,298
4. Step 4: Simplify right side
   53,684x = 13,064,032,804
5. Step 5: Solve for x
   x = 13,064,032,804/53,684
6. Step 6: Final answer
   x = 243,350.58