Finding the Third Proportional to 91,647 and 137,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,647 : 137,713.50 = 137,713.50 : x
2. Step 2: Convert to fraction form
   91,647/137,713.50 = 137,713.50/x
3. Step 3: Cross multiply
   91,647x = 137,713.50 × 137,713.50
4. Step 4: Simplify right side
   91,647x = 18,965,008,082.25
5. Step 5: Solve for x
   x = 18,965,008,082.25/91,647
6. Step 6: Final answer
   x = 206,935.39