Finding the Third Proportional to 91,003 and 137,777

Step by Step Solution

1. Step 1: Write the proportion equation
   91,003 : 137,777 = 137,777 : x
2. Step 2: Convert to fraction form
   91,003/137,777 = 137,777/x
3. Step 3: Cross multiply
   91,003x = 137,777 × 137,777
4. Step 4: Simplify right side
   91,003x = 18,982,501,729
5. Step 5: Solve for x
   x = 18,982,501,729/91,003
6. Step 6: Final answer
   x = 208,592.04