Finding the Third Proportional to 142,914 and 314,196

Step by Step Solution

1. Step 1: Write the proportion equation
   142,914 : 314,196 = 314,196 : x
2. Step 2: Convert to fraction form
   142,914/314,196 = 314,196/x
3. Step 3: Cross multiply
   142,914x = 314,196 × 314,196
4. Step 4: Simplify right side
   142,914x = 98,719,126,416
5. Step 5: Solve for x
   x = 98,719,126,416/142,914
6. Step 6: Final answer
   x = 690,758.96