Finding the Third Proportional to 189,175.50 and 282,123

Step by Step Solution

1. Step 1: Write the proportion equation
   189,175.50 : 282,123 = 282,123 : x
2. Step 2: Convert to fraction form
   189,175.50/282,123 = 282,123/x
3. Step 3: Cross multiply
   189,175.50x = 282,123 × 282,123
4. Step 4: Simplify right side
   189,175.50x = 79,593,387,129
5. Step 5: Solve for x
   x = 79,593,387,129/189,175.50
6. Step 6: Final answer
   x = 420,738.35