Finding the Third Proportional to 52,335 and 109,098

Step by Step Solution

1. Step 1: Write the proportion equation
   52,335 : 109,098 = 109,098 : x
2. Step 2: Convert to fraction form
   52,335/109,098 = 109,098/x
3. Step 3: Cross multiply
   52,335x = 109,098 × 109,098
4. Step 4: Simplify right side
   52,335x = 11,902,373,604
5. Step 5: Solve for x
   x = 11,902,373,604/52,335
6. Step 6: Final answer
   x = 227,426.65