Finding the Third Proportional to 119,725 and 174,322

Step by Step Solution

1. Step 1: Write the proportion equation
   119,725 : 174,322 = 174,322 : x
2. Step 2: Convert to fraction form
   119,725/174,322 = 174,322/x
3. Step 3: Cross multiply
   119,725x = 174,322 × 174,322
4. Step 4: Simplify right side
   119,725x = 30,388,159,684
5. Step 5: Solve for x
   x = 30,388,159,684/119,725
6. Step 6: Final answer
   x = 253,816.33