Finding the Third Proportional to 88,997 and 194,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,997 : 194,405.50 = 194,405.50 : x
2. Step 2: Convert to fraction form
   88,997/194,405.50 = 194,405.50/x
3. Step 3: Cross multiply
   88,997x = 194,405.50 × 194,405.50
4. Step 4: Simplify right side
   88,997x = 37,793,498,430.25
5. Step 5: Solve for x
   x = 37,793,498,430.25/88,997
6. Step 6: Final answer
   x = 424,660.36