Finding the Third Proportional to 91,830 and 141,795

Step by Step Solution

1. Step 1: Write the proportion equation
   91,830 : 141,795 = 141,795 : x
2. Step 2: Convert to fraction form
   91,830/141,795 = 141,795/x
3. Step 3: Cross multiply
   91,830x = 141,795 × 141,795
4. Step 4: Simplify right side
   91,830x = 20,105,822,025
5. Step 5: Solve for x
   x = 20,105,822,025/91,830
6. Step 6: Final answer
   x = 218,946.12