Finding the Third Proportional to 47,908.69 and 100,782.56

Step by Step Solution

1. Step 1: Write the proportion equation
   47,908.69 : 100,782.56 = 100,782.56 : x
2. Step 2: Convert to fraction form
   47,908.69/100,782.56 = 100,782.56/x
3. Step 3: Cross multiply
   47,908.69x = 100,782.56 × 100,782.56
4. Step 4: Simplify right side
   47,908.69x = 10,157,124,904.07
5. Step 5: Solve for x
   x = 10,157,124,904.07/47,908.69
6. Step 6: Final answer
   x = 212,010.08