Finding the Third Proportional to 41,554 and 90,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,554 : 90,897.50 = 90,897.50 : x
2. Step 2: Convert to fraction form
   41,554/90,897.50 = 90,897.50/x
3. Step 3: Cross multiply
   41,554x = 90,897.50 × 90,897.50
4. Step 4: Simplify right side
   41,554x = 8,262,355,506.25
5. Step 5: Solve for x
   x = 8,262,355,506.25/41,554
6. Step 6: Final answer
   x = 198,834.18