Finding the Third Proportional to 91,971 and 142,461

Step by Step Solution

1. Step 1: Write the proportion equation
   91,971 : 142,461 = 142,461 : x
2. Step 2: Convert to fraction form
   91,971/142,461 = 142,461/x
3. Step 3: Cross multiply
   91,971x = 142,461 × 142,461
4. Step 4: Simplify right side
   91,971x = 20,295,136,521
5. Step 5: Solve for x
   x = 20,295,136,521/91,971
6. Step 6: Final answer
   x = 220,668.87