Finding the Third Proportional to 72,120 and 154,642

Step by Step Solution

1. Step 1: Write the proportion equation
   72,120 : 154,642 = 154,642 : x
2. Step 2: Convert to fraction form
   72,120/154,642 = 154,642/x
3. Step 3: Cross multiply
   72,120x = 154,642 × 154,642
4. Step 4: Simplify right side
   72,120x = 23,914,148,164
5. Step 5: Solve for x
   x = 23,914,148,164/72,120
6. Step 6: Final answer
   x = 331,588.30