Finding the Third Proportional to 42,532 and 91,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,532 : 91,563.50 = 91,563.50 : x
2. Step 2: Convert to fraction form
   42,532/91,563.50 = 91,563.50/x
3. Step 3: Cross multiply
   42,532x = 91,563.50 × 91,563.50
4. Step 4: Simplify right side
   42,532x = 8,383,874,532.25
5. Step 5: Solve for x
   x = 8,383,874,532.25/42,532
6. Step 6: Final answer
   x = 197,119.22