Finding the Third Proportional to 106,739 and 229,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,739 : 229,971.50 = 229,971.50 : x
2. Step 2: Convert to fraction form
   106,739/229,971.50 = 229,971.50/x
3. Step 3: Cross multiply
   106,739x = 229,971.50 × 229,971.50
4. Step 4: Simplify right side
   106,739x = 52,886,890,812.25
5. Step 5: Solve for x
   x = 52,886,890,812.25/106,739
6. Step 6: Final answer
   x = 495,478.60