Finding the Third Proportional to 91,145 and 142,691

Step by Step Solution

1. Step 1: Write the proportion equation
   91,145 : 142,691 = 142,691 : x
2. Step 2: Convert to fraction form
   91,145/142,691 = 142,691/x
3. Step 3: Cross multiply
   91,145x = 142,691 × 142,691
4. Step 4: Simplify right side
   91,145x = 20,360,721,481
5. Step 5: Solve for x
   x = 20,360,721,481/91,145
6. Step 6: Final answer
   x = 223,388.24