Finding the Third Proportional to 70,470 and 151,686

Step by Step Solution

1. Step 1: Write the proportion equation
   70,470 : 151,686 = 151,686 : x
2. Step 2: Convert to fraction form
   70,470/151,686 = 151,686/x
3. Step 3: Cross multiply
   70,470x = 151,686 × 151,686
4. Step 4: Simplify right side
   70,470x = 23,008,642,596
5. Step 5: Solve for x
   x = 23,008,642,596/70,470
6. Step 6: Final answer
   x = 326,502.66