Finding the Third Proportional to 41,888 and 90,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,888 : 90,336.50 = 90,336.50 : x
2. Step 2: Convert to fraction form
   41,888/90,336.50 = 90,336.50/x
3. Step 3: Cross multiply
   41,888x = 90,336.50 × 90,336.50
4. Step 4: Simplify right side
   41,888x = 8,160,683,232.25
5. Step 5: Solve for x
   x = 8,160,683,232.25/41,888
6. Step 6: Final answer
   x = 194,821.51