Finding the Third Proportional to 142,673.25 and 213,564

Step by Step Solution

1. Step 1: Write the proportion equation
   142,673.25 : 213,564 = 213,564 : x
2. Step 2: Convert to fraction form
   142,673.25/213,564 = 213,564/x
3. Step 3: Cross multiply
   142,673.25x = 213,564 × 213,564
4. Step 4: Simplify right side
   142,673.25x = 45,609,582,096
5. Step 5: Solve for x
   x = 45,609,582,096/142,673.25
6. Step 6: Final answer
   x = 319,678.58