Finding the Third Proportional to 103,693 and 154,822

Step by Step Solution

1. Step 1: Write the proportion equation
   103,693 : 154,822 = 154,822 : x
2. Step 2: Convert to fraction form
   103,693/154,822 = 154,822/x
3. Step 3: Cross multiply
   103,693x = 154,822 × 154,822
4. Step 4: Simplify right side
   103,693x = 23,969,851,684
5. Step 5: Solve for x
   x = 23,969,851,684/103,693
6. Step 6: Final answer
   x = 231,161.71