Finding the Third Proportional to 91,768 and 140,284

Step by Step Solution

1. Step 1: Write the proportion equation
   91,768 : 140,284 = 140,284 : x
2. Step 2: Convert to fraction form
   91,768/140,284 = 140,284/x
3. Step 3: Cross multiply
   91,768x = 140,284 × 140,284
4. Step 4: Simplify right side
   91,768x = 19,679,600,656
5. Step 5: Solve for x
   x = 19,679,600,656/91,768
6. Step 6: Final answer
   x = 214,449.49