Finding the Third Proportional to 42,777 and 93,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,777 : 93,757.50 = 93,757.50 : x
2. Step 2: Convert to fraction form
   42,777/93,757.50 = 93,757.50/x
3. Step 3: Cross multiply
   42,777x = 93,757.50 × 93,757.50
4. Step 4: Simplify right side
   42,777x = 8,790,468,806.25
5. Step 5: Solve for x
   x = 8,790,468,806.25/42,777
6. Step 6: Final answer
   x = 205,495.21