Finding the Third Proportional to 142,205 and 307,216

Step by Step Solution

1. Step 1: Write the proportion equation
   142,205 : 307,216 = 307,216 : x
2. Step 2: Convert to fraction form
   142,205/307,216 = 307,216/x
3. Step 3: Cross multiply
   142,205x = 307,216 × 307,216
4. Step 4: Simplify right side
   142,205x = 94,381,670,656
5. Step 5: Solve for x
   x = 94,381,670,656/142,205
6. Step 6: Final answer
   x = 663,701.49