Finding the Third Proportional to 53,820 and 109,830

Step by Step Solution

1. Step 1: Write the proportion equation
   53,820 : 109,830 = 109,830 : x
2. Step 2: Convert to fraction form
   53,820/109,830 = 109,830/x
3. Step 3: Cross multiply
   53,820x = 109,830 × 109,830
4. Step 4: Simplify right side
   53,820x = 12,062,628,900
5. Step 5: Solve for x
   x = 12,062,628,900/53,820
6. Step 6: Final answer
   x = 224,129.11