Finding the Third Proportional to 91,274 and 199,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,274 : 199,725.50 = 199,725.50 : x
2. Step 2: Convert to fraction form
   91,274/199,725.50 = 199,725.50/x
3. Step 3: Cross multiply
   91,274x = 199,725.50 × 199,725.50
4. Step 4: Simplify right side
   91,274x = 39,890,275,350.25
5. Step 5: Solve for x
   x = 39,890,275,350.25/91,274
6. Step 6: Final answer
   x = 437,038.76