Finding the Third Proportional to 42,555 and 93,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,555 : 93,493.50 = 93,493.50 : x
2. Step 2: Convert to fraction form
   42,555/93,493.50 = 93,493.50/x
3. Step 3: Cross multiply
   42,555x = 93,493.50 × 93,493.50
4. Step 4: Simplify right side
   42,555x = 8,741,034,542.25
5. Step 5: Solve for x
   x = 8,741,034,542.25/42,555
6. Step 6: Final answer
   x = 205,405.58