Finding the Third Proportional to 142,538 and 307,674

Step by Step Solution

1. Step 1: Write the proportion equation
   142,538 : 307,674 = 307,674 : x
2. Step 2: Convert to fraction form
   142,538/307,674 = 307,674/x
3. Step 3: Cross multiply
   142,538x = 307,674 × 307,674
4. Step 4: Simplify right side
   142,538x = 94,663,290,276
5. Step 5: Solve for x
   x = 94,663,290,276/142,538
6. Step 6: Final answer
   x = 664,126.69