Finding the Third Proportional to 91,138.50 and 142,466.06

Step by Step Solution

1. Step 1: Write the proportion equation
   91,138.50 : 142,466.06 = 142,466.06 : x
2. Step 2: Convert to fraction form
   91,138.50/142,466.06 = 142,466.06/x
3. Step 3: Cross multiply
   91,138.50x = 142,466.06 × 142,466.06
4. Step 4: Simplify right side
   91,138.50x = 20,296,578,964.25
5. Step 5: Solve for x
   x = 20,296,578,964.25/91,138.50
6. Step 6: Final answer
   x = 222,700.38