Finding the Third Proportional to 105,666 and 156,753

Step by Step Solution

1. Step 1: Write the proportion equation
   105,666 : 156,753 = 156,753 : x
2. Step 2: Convert to fraction form
   105,666/156,753 = 156,753/x
3. Step 3: Cross multiply
   105,666x = 156,753 × 156,753
4. Step 4: Simplify right side
   105,666x = 24,571,503,009
5. Step 5: Solve for x
   x = 24,571,503,009/105,666
6. Step 6: Final answer
   x = 232,539.35