Finding the Third Proportional to 76,822.50 and 120,512

Step by Step Solution

1. Step 1: Write the proportion equation
   76,822.50 : 120,512 = 120,512 : x
2. Step 2: Convert to fraction form
   76,822.50/120,512 = 120,512/x
3. Step 3: Cross multiply
   76,822.50x = 120,512 × 120,512
4. Step 4: Simplify right side
   76,822.50x = 14,523,142,144
5. Step 5: Solve for x
   x = 14,523,142,144/76,822.50
6. Step 6: Final answer
   x = 189,048.03