Finding the Third Proportional to 119,724 and 174,321

Step by Step Solution

1. Step 1: Write the proportion equation
   119,724 : 174,321 = 174,321 : x
2. Step 2: Convert to fraction form
   119,724/174,321 = 174,321/x
3. Step 3: Cross multiply
   119,724x = 174,321 × 174,321
4. Step 4: Simplify right side
   119,724x = 30,387,811,041
5. Step 5: Solve for x
   x = 30,387,811,041/119,724
6. Step 6: Final answer
   x = 253,815.53