Finding the Third Proportional to 91,447 and 137,169.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,447 : 137,169.50 = 137,169.50 : x
2. Step 2: Convert to fraction form
   91,447/137,169.50 = 137,169.50/x
3. Step 3: Cross multiply
   91,447x = 137,169.50 × 137,169.50
4. Step 4: Simplify right side
   91,447x = 18,815,471,730.25
5. Step 5: Solve for x
   x = 18,815,471,730.25/91,447
6. Step 6: Final answer
   x = 205,752.75