Finding the Third Proportional to 142,537 and 301,166

Step by Step Solution

1. Step 1: Write the proportion equation
   142,537 : 301,166 = 301,166 : x
2. Step 2: Convert to fraction form
   142,537/301,166 = 301,166/x
3. Step 3: Cross multiply
   142,537x = 301,166 × 301,166
4. Step 4: Simplify right side
   142,537x = 90,700,959,556
5. Step 5: Solve for x
   x = 90,700,959,556/142,537
6. Step 6: Final answer
   x = 636,332.74