Finding the Third Proportional to 106,835 and 227,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,835 : 227,971.50 = 227,971.50 : x
2. Step 2: Convert to fraction form
   106,835/227,971.50 = 227,971.50/x
3. Step 3: Cross multiply
   106,835x = 227,971.50 × 227,971.50
4. Step 4: Simplify right side
   106,835x = 51,971,004,812.25
5. Step 5: Solve for x
   x = 51,971,004,812.25/106,835
6. Step 6: Final answer
   x = 486,460.47