Finding the Third Proportional to 91,174 and 138,020

Step by Step Solution

1. Step 1: Write the proportion equation
   91,174 : 138,020 = 138,020 : x
2. Step 2: Convert to fraction form
   91,174/138,020 = 138,020/x
3. Step 3: Cross multiply
   91,174x = 138,020 × 138,020
4. Step 4: Simplify right side
   91,174x = 19,049,520,400
5. Step 5: Solve for x
   x = 19,049,520,400/91,174
6. Step 6: Final answer
   x = 208,935.89