Finding the Third Proportional to 142,984 and 314,168

Step by Step Solution

1. Step 1: Write the proportion equation
   142,984 : 314,168 = 314,168 : x
2. Step 2: Convert to fraction form
   142,984/314,168 = 314,168/x
3. Step 3: Cross multiply
   142,984x = 314,168 × 314,168
4. Step 4: Simplify right side
   142,984x = 98,701,532,224
5. Step 5: Solve for x
   x = 98,701,532,224/142,984
6. Step 6: Final answer
   x = 690,297.74