Finding the Third Proportional to 41,727.75 and 92,784.56

Step by Step Solution

1. Step 1: Write the proportion equation
   41,727.75 : 92,784.56 = 92,784.56 : x
2. Step 2: Convert to fraction form
   41,727.75/92,784.56 = 92,784.56/x
3. Step 3: Cross multiply
   41,727.75x = 92,784.56 × 92,784.56
4. Step 4: Simplify right side
   41,727.75x = 8,608,975,038.32
5. Step 5: Solve for x
   x = 8,608,975,038.32/41,727.75
6. Step 6: Final answer
   x = 206,312.95