Finding the Third Proportional to 91,244.25 and 195,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,244.25 : 195,097.50 = 195,097.50 : x
2. Step 2: Convert to fraction form
   91,244.25/195,097.50 = 195,097.50/x
3. Step 3: Cross multiply
   91,244.25x = 195,097.50 × 195,097.50
4. Step 4: Simplify right side
   91,244.25x = 38,063,034,506.25
5. Step 5: Solve for x
   x = 38,063,034,506.25/91,244.25
6. Step 6: Final answer
   x = 417,155.43