Finding the Third Proportional to 87,300 and 188,523

Step by Step Solution

1. Step 1: Write the proportion equation
   87,300 : 188,523 = 188,523 : x
2. Step 2: Convert to fraction form
   87,300/188,523 = 188,523/x
3. Step 3: Cross multiply
   87,300x = 188,523 × 188,523
4. Step 4: Simplify right side
   87,300x = 35,540,921,529
5. Step 5: Solve for x
   x = 35,540,921,529/87,300
6. Step 6: Final answer
   x = 407,112.50