Finding the Third Proportional to 51,462 and 109,835

Step by Step Solution

1. Step 1: Write the proportion equation
   51,462 : 109,835 = 109,835 : x
2. Step 2: Convert to fraction form
   51,462/109,835 = 109,835/x
3. Step 3: Cross multiply
   51,462x = 109,835 × 109,835
4. Step 4: Simplify right side
   51,462x = 12,063,727,225
5. Step 5: Solve for x
   x = 12,063,727,225/51,462
6. Step 6: Final answer
   x = 234,420.10