Finding the Third Proportional to 106,027 and 231,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,027 : 231,106.50 = 231,106.50 : x
2. Step 2: Convert to fraction form
   106,027/231,106.50 = 231,106.50/x
3. Step 3: Cross multiply
   106,027x = 231,106.50 × 231,106.50
4. Step 4: Simplify right side
   106,027x = 53,410,214,342.25
5. Step 5: Solve for x
   x = 53,410,214,342.25/106,027
6. Step 6: Final answer
   x = 503,741.64