Finding the Third Proportional to 91,748.25 and 140,538.38

Step by Step Solution

1. Step 1: Write the proportion equation
   91,748.25 : 140,538.38 = 140,538.38 : x
2. Step 2: Convert to fraction form
   91,748.25/140,538.38 = 140,538.38/x
3. Step 3: Cross multiply
   91,748.25x = 140,538.38 × 140,538.38
4. Step 4: Simplify right side
   91,748.25x = 19,751,034,847.64
5. Step 5: Solve for x
   x = 19,751,034,847.64/91,748.25
6. Step 6: Final answer
   x = 215,274.24