Finding the Third Proportional to 53,686 and 114,308

Step by Step Solution

1. Step 1: Write the proportion equation
   53,686 : 114,308 = 114,308 : x
2. Step 2: Convert to fraction form
   53,686/114,308 = 114,308/x
3. Step 3: Cross multiply
   53,686x = 114,308 × 114,308
4. Step 4: Simplify right side
   53,686x = 13,066,318,864
5. Step 5: Solve for x
   x = 13,066,318,864/53,686
6. Step 6: Final answer
   x = 243,384.10