Finding the Third Proportional to 142,746 and 307,416

Step by Step Solution

1. Step 1: Write the proportion equation
   142,746 : 307,416 = 307,416 : x
2. Step 2: Convert to fraction form
   142,746/307,416 = 307,416/x
3. Step 3: Cross multiply
   142,746x = 307,416 × 307,416
4. Step 4: Simplify right side
   142,746x = 94,504,597,056
5. Step 5: Solve for x
   x = 94,504,597,056/142,746
6. Step 6: Final answer
   x = 662,047.25