Finding the Third Proportional to 106,656 and 152,420

Step by Step Solution

1. Step 1: Write the proportion equation
   106,656 : 152,420 = 152,420 : x
2. Step 2: Convert to fraction form
   106,656/152,420 = 152,420/x
3. Step 3: Cross multiply
   106,656x = 152,420 × 152,420
4. Step 4: Simplify right side
   106,656x = 23,231,856,400
5. Step 5: Solve for x
   x = 23,231,856,400/106,656
6. Step 6: Final answer
   x = 217,820.44