Finding the Third Proportional to 42,768 and 93,737.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,768 : 93,737.25 = 93,737.25 : x
2. Step 2: Convert to fraction form
   42,768/93,737.25 = 93,737.25/x
3. Step 3: Cross multiply
   42,768x = 93,737.25 × 93,737.25
4. Step 4: Simplify right side
   42,768x = 8,786,672,037.56
5. Step 5: Solve for x
   x = 8,786,672,037.56/42,768
6. Step 6: Final answer
   x = 205,449.68