Finding the Third Proportional to 91,424 and 137,388

Step by Step Solution

1. Step 1: Write the proportion equation
   91,424 : 137,388 = 137,388 : x
2. Step 2: Convert to fraction form
   91,424/137,388 = 137,388/x
3. Step 3: Cross multiply
   91,424x = 137,388 × 137,388
4. Step 4: Simplify right side
   91,424x = 18,875,462,544
5. Step 5: Solve for x
   x = 18,875,462,544/91,424
6. Step 6: Final answer
   x = 206,460.69