Finding the Third Proportional to 91,714.50 and 199,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,714.50 : 199,558.50 = 199,558.50 : x
2. Step 2: Convert to fraction form
   91,714.50/199,558.50 = 199,558.50/x
3. Step 3: Cross multiply
   91,714.50x = 199,558.50 × 199,558.50
4. Step 4: Simplify right side
   91,714.50x = 39,823,594,922.25
5. Step 5: Solve for x
   x = 39,823,594,922.25/91,714.50
6. Step 6: Final answer
   x = 434,212.64