Finding the Third Proportional to 91,827 and 137,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,827 : 137,200.50 = 137,200.50 : x
2. Step 2: Convert to fraction form
   91,827/137,200.50 = 137,200.50/x
3. Step 3: Cross multiply
   91,827x = 137,200.50 × 137,200.50
4. Step 4: Simplify right side
   91,827x = 18,823,977,200.25
5. Step 5: Solve for x
   x = 18,823,977,200.25/91,827
6. Step 6: Final answer
   x = 204,993.93