Finding the Third Proportional to 165,160 and 253,066

Step by Step Solution

1. Step 1: Write the proportion equation
   165,160 : 253,066 = 253,066 : x
2. Step 2: Convert to fraction form
   165,160/253,066 = 253,066/x
3. Step 3: Cross multiply
   165,160x = 253,066 × 253,066
4. Step 4: Simplify right side
   165,160x = 64,042,400,356
5. Step 5: Solve for x
   x = 64,042,400,356/165,160
6. Step 6: Final answer
   x = 387,759.75