Finding the Third Proportional to 91,582.88 and 195,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,582.88 : 195,262.50 = 195,262.50 : x
2. Step 2: Convert to fraction form
   91,582.88/195,262.50 = 195,262.50/x
3. Step 3: Cross multiply
   91,582.88x = 195,262.50 × 195,262.50
4. Step 4: Simplify right side
   91,582.88x = 38,127,443,906.25
5. Step 5: Solve for x
   x = 38,127,443,906.25/91,582.88
6. Step 6: Final answer
   x = 416,316.30