Finding the Third Proportional to 53,620 and 116,066

Step by Step Solution

1. Step 1: Write the proportion equation
   53,620 : 116,066 = 116,066 : x
2. Step 2: Convert to fraction form
   53,620/116,066 = 116,066/x
3. Step 3: Cross multiply
   53,620x = 116,066 × 116,066
4. Step 4: Simplify right side
   53,620x = 13,471,316,356
5. Step 5: Solve for x
   x = 13,471,316,356/53,620
6. Step 6: Final answer
   x = 251,236.78