Finding the Third Proportional to 102,392 and 152,799

Step by Step Solution

1. Step 1: Write the proportion equation
   102,392 : 152,799 = 152,799 : x
2. Step 2: Convert to fraction form
   102,392/152,799 = 152,799/x
3. Step 3: Cross multiply
   102,392x = 152,799 × 152,799
4. Step 4: Simplify right side
   102,392x = 23,347,534,401
5. Step 5: Solve for x
   x = 23,347,534,401/102,392
6. Step 6: Final answer
   x = 228,021.08