Finding the Third Proportional to 101,858 and 223,380

Step by Step Solution

1. Step 1: Write the proportion equation
   101,858 : 223,380 = 223,380 : x
2. Step 2: Convert to fraction form
   101,858/223,380 = 223,380/x
3. Step 3: Cross multiply
   101,858x = 223,380 × 223,380
4. Step 4: Simplify right side
   101,858x = 49,898,624,400
5. Step 5: Solve for x
   x = 49,898,624,400/101,858
6. Step 6: Final answer
   x = 489,884.20