Finding the Third Proportional to 142,222.50 and 314,013

Step by Step Solution

1. Step 1: Write the proportion equation
   142,222.50 : 314,013 = 314,013 : x
2. Step 2: Convert to fraction form
   142,222.50/314,013 = 314,013/x
3. Step 3: Cross multiply
   142,222.50x = 314,013 × 314,013
4. Step 4: Simplify right side
   142,222.50x = 98,604,164,169
5. Step 5: Solve for x
   x = 98,604,164,169/142,222.50
6. Step 6: Final answer
   x = 693,309.18