Finding the Third Proportional to 91,870 and 137,804

Step by Step Solution

1. Step 1: Write the proportion equation
   91,870 : 137,804 = 137,804 : x
2. Step 2: Convert to fraction form
   91,870/137,804 = 137,804/x
3. Step 3: Cross multiply
   91,870x = 137,804 × 137,804
4. Step 4: Simplify right side
   91,870x = 18,989,942,416
5. Step 5: Solve for x
   x = 18,989,942,416/91,870
6. Step 6: Final answer
   x = 206,704.50