Finding the Third Proportional to 142,276 and 314,684

Step by Step Solution

1. Step 1: Write the proportion equation
   142,276 : 314,684 = 314,684 : x
2. Step 2: Convert to fraction form
   142,276/314,684 = 314,684/x
3. Step 3: Cross multiply
   142,276x = 314,684 × 314,684
4. Step 4: Simplify right side
   142,276x = 99,026,019,856
5. Step 5: Solve for x
   x = 99,026,019,856/142,276
6. Step 6: Final answer
   x = 696,013.52