Finding the Third Proportional to 72,281 and 174,123

Step by Step Solution

1. Step 1: Write the proportion equation
   72,281 : 174,123 = 174,123 : x
2. Step 2: Convert to fraction form
   72,281/174,123 = 174,123/x
3. Step 3: Cross multiply
   72,281x = 174,123 × 174,123
4. Step 4: Simplify right side
   72,281x = 30,318,819,129
5. Step 5: Solve for x
   x = 30,318,819,129/72,281
6. Step 6: Final answer
   x = 419,457.66