Finding the Third Proportional to 91,171 and 138,015

Step by Step Solution

1. Step 1: Write the proportion equation
   91,171 : 138,015 = 138,015 : x
2. Step 2: Convert to fraction form
   91,171/138,015 = 138,015/x
3. Step 3: Cross multiply
   91,171x = 138,015 × 138,015
4. Step 4: Simplify right side
   91,171x = 19,048,140,225
5. Step 5: Solve for x
   x = 19,048,140,225/91,171
6. Step 6: Final answer
   x = 208,927.62