Finding the Third Proportional to 186,591.50 and 281,233

Step by Step Solution

1. Step 1: Write the proportion equation
   186,591.50 : 281,233 = 281,233 : x
2. Step 2: Convert to fraction form
   186,591.50/281,233 = 281,233/x
3. Step 3: Cross multiply
   186,591.50x = 281,233 × 281,233
4. Step 4: Simplify right side
   186,591.50x = 79,092,000,289
5. Step 5: Solve for x
   x = 79,092,000,289/186,591.50
6. Step 6: Final answer
   x = 423,877.83