Finding the Third Proportional to 70,686 and 148,644

Step by Step Solution

1. Step 1: Write the proportion equation
   70,686 : 148,644 = 148,644 : x
2. Step 2: Convert to fraction form
   70,686/148,644 = 148,644/x
3. Step 3: Cross multiply
   70,686x = 148,644 × 148,644
4. Step 4: Simplify right side
   70,686x = 22,095,038,736
5. Step 5: Solve for x
   x = 22,095,038,736/70,686
6. Step 6: Final answer
   x = 312,580.13