Finding the Third Proportional to 91,766 and 141,830

Step by Step Solution

1. Step 1: Write the proportion equation
   91,766 : 141,830 = 141,830 : x
2. Step 2: Convert to fraction form
   91,766/141,830 = 141,830/x
3. Step 3: Cross multiply
   91,766x = 141,830 × 141,830
4. Step 4: Simplify right side
   91,766x = 20,115,748,900
5. Step 5: Solve for x
   x = 20,115,748,900/91,766
6. Step 6: Final answer
   x = 219,206.99