Finding the Third Proportional to 72,132 and 156,966

Step by Step Solution

1. Step 1: Write the proportion equation
   72,132 : 156,966 = 156,966 : x
2. Step 2: Convert to fraction form
   72,132/156,966 = 156,966/x
3. Step 3: Cross multiply
   72,132x = 156,966 × 156,966
4. Step 4: Simplify right side
   72,132x = 24,638,325,156
5. Step 5: Solve for x
   x = 24,638,325,156/72,132
6. Step 6: Final answer
   x = 341,572.74