Finding the Third Proportional to 41,546.50 and 90,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,546.50 : 90,612.50 = 90,612.50 : x
2. Step 2: Convert to fraction form
   41,546.50/90,612.50 = 90,612.50/x
3. Step 3: Cross multiply
   41,546.50x = 90,612.50 × 90,612.50
4. Step 4: Simplify right side
   41,546.50x = 8,210,625,156.25
5. Step 5: Solve for x
   x = 8,210,625,156.25/41,546.50
6. Step 6: Final answer
   x = 197,624.95