Finding the Third Proportional to 70,424 and 146,656

Step by Step Solution

1. Step 1: Write the proportion equation
   70,424 : 146,656 = 146,656 : x
2. Step 2: Convert to fraction form
   70,424/146,656 = 146,656/x
3. Step 3: Cross multiply
   70,424x = 146,656 × 146,656
4. Step 4: Simplify right side
   70,424x = 21,507,982,336
5. Step 5: Solve for x
   x = 21,507,982,336/70,424
6. Step 6: Final answer
   x = 305,407.00