Finding the Third Proportional to 142,536 and 307,672

Step by Step Solution

1. Step 1: Write the proportion equation
   142,536 : 307,672 = 307,672 : x
2. Step 2: Convert to fraction form
   142,536/307,672 = 307,672/x
3. Step 3: Cross multiply
   142,536x = 307,672 × 307,672
4. Step 4: Simplify right side
   142,536x = 94,662,059,584
5. Step 5: Solve for x
   x = 94,662,059,584/142,536
6. Step 6: Final answer
   x = 664,127.38