Finding the Third Proportional to 101,838 and 223,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,838 : 223,735.50 = 223,735.50 : x
2. Step 2: Convert to fraction form
   101,838/223,735.50 = 223,735.50/x
3. Step 3: Cross multiply
   101,838x = 223,735.50 × 223,735.50
4. Step 4: Simplify right side
   101,838x = 50,057,573,960.25
5. Step 5: Solve for x
   x = 50,057,573,960.25/101,838
6. Step 6: Final answer
   x = 491,541.21