Finding the Third Proportional to 142,506 and 225,642

Step by Step Solution

1. Step 1: Write the proportion equation
   142,506 : 225,642 = 225,642 : x
2. Step 2: Convert to fraction form
   142,506/225,642 = 225,642/x
3. Step 3: Cross multiply
   142,506x = 225,642 × 225,642
4. Step 4: Simplify right side
   142,506x = 50,914,312,164
5. Step 5: Solve for x
   x = 50,914,312,164/142,506
6. Step 6: Final answer
   x = 357,278.38