Finding the Third Proportional to 142,533 and 307,665

Step by Step Solution

1. Step 1: Write the proportion equation
   142,533 : 307,665 = 307,665 : x
2. Step 2: Convert to fraction form
   142,533/307,665 = 307,665/x
3. Step 3: Cross multiply
   142,533x = 307,665 × 307,665
4. Step 4: Simplify right side
   142,533x = 94,657,752,225
5. Step 5: Solve for x
   x = 94,657,752,225/142,533
6. Step 6: Final answer
   x = 664,111.13