Finding the Third Proportional to 102,372 and 156,799

Step by Step Solution

1. Step 1: Write the proportion equation
   102,372 : 156,799 = 156,799 : x
2. Step 2: Convert to fraction form
   102,372/156,799 = 156,799/x
3. Step 3: Cross multiply
   102,372x = 156,799 × 156,799
4. Step 4: Simplify right side
   102,372x = 24,585,926,401
5. Step 5: Solve for x
   x = 24,585,926,401/102,372
6. Step 6: Final answer
   x = 240,162.61