Finding the Third Proportional to 47,421 and 109,784.25

Step by Step Solution

1. Step 1: Write the proportion equation
   47,421 : 109,784.25 = 109,784.25 : x
2. Step 2: Convert to fraction form
   47,421/109,784.25 = 109,784.25/x
3. Step 3: Cross multiply
   47,421x = 109,784.25 × 109,784.25
4. Step 4: Simplify right side
   47,421x = 12,052,581,548.06
5. Step 5: Solve for x
   x = 12,052,581,548.06/47,421
6. Step 6: Final answer
   x = 254,161.27