Finding the Third Proportional to 53,816 and 109,820

Step by Step Solution

1. Step 1: Write the proportion equation
   53,816 : 109,820 = 109,820 : x
2. Step 2: Convert to fraction form
   53,816/109,820 = 109,820/x
3. Step 3: Cross multiply
   53,816x = 109,820 × 109,820
4. Step 4: Simplify right side
   53,816x = 12,060,432,400
5. Step 5: Solve for x
   x = 12,060,432,400/53,816
6. Step 6: Final answer
   x = 224,104.96