Finding the Third Proportional to 91,028 and 137,814

Step by Step Solution

1. Step 1: Write the proportion equation
   91,028 : 137,814 = 137,814 : x
2. Step 2: Convert to fraction form
   91,028/137,814 = 137,814/x
3. Step 3: Cross multiply
   91,028x = 137,814 × 137,814
4. Step 4: Simplify right side
   91,028x = 18,992,698,596
5. Step 5: Solve for x
   x = 18,992,698,596/91,028
6. Step 6: Final answer
   x = 208,646.77