Finding the Third Proportional to 91,444 and 138,140

Step by Step Solution

1. Step 1: Write the proportion equation
   91,444 : 138,140 = 138,140 : x
2. Step 2: Convert to fraction form
   91,444/138,140 = 138,140/x
3. Step 3: Cross multiply
   91,444x = 138,140 × 138,140
4. Step 4: Simplify right side
   91,444x = 19,082,659,600
5. Step 5: Solve for x
   x = 19,082,659,600/91,444
6. Step 6: Final answer
   x = 208,681.37