Finding the Third Proportional to 142,796 and 212,635

Step by Step Solution

1. Step 1: Write the proportion equation
   142,796 : 212,635 = 212,635 : x
2. Step 2: Convert to fraction form
   142,796/212,635 = 212,635/x
3. Step 3: Cross multiply
   142,796x = 212,635 × 212,635
4. Step 4: Simplify right side
   142,796x = 45,213,643,225
5. Step 5: Solve for x
   x = 45,213,643,225/142,796
6. Step 6: Final answer
   x = 316,631.02