Finding the Third Proportional to 91,948 and 140,598

Step by Step Solution

1. Step 1: Write the proportion equation
   91,948 : 140,598 = 140,598 : x
2. Step 2: Convert to fraction form
   91,948/140,598 = 140,598/x
3. Step 3: Cross multiply
   91,948x = 140,598 × 140,598
4. Step 4: Simplify right side
   91,948x = 19,767,797,604
5. Step 5: Solve for x
   x = 19,767,797,604/91,948
6. Step 6: Final answer
   x = 214,988.88