Finding the Third Proportional to 87,780 and 133,830

Step by Step Solution

1. Step 1: Write the proportion equation
   87,780 : 133,830 = 133,830 : x
2. Step 2: Convert to fraction form
   87,780/133,830 = 133,830/x
3. Step 3: Cross multiply
   87,780x = 133,830 × 133,830
4. Step 4: Simplify right side
   87,780x = 17,910,468,900
5. Step 5: Solve for x
   x = 17,910,468,900/87,780
6. Step 6: Final answer
   x = 204,038.15