Finding the Third Proportional to 52,424 and 109,708

Step by Step Solution

1. Step 1: Write the proportion equation
   52,424 : 109,708 = 109,708 : x
2. Step 2: Convert to fraction form
   52,424/109,708 = 109,708/x
3. Step 3: Cross multiply
   52,424x = 109,708 × 109,708
4. Step 4: Simplify right side
   52,424x = 12,035,845,264
5. Step 5: Solve for x
   x = 12,035,845,264/52,424
6. Step 6: Final answer
   x = 229,586.55