Finding the Third Proportional to 106,462.50 and 234,527.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106,462.50 : 234,527.25 = 234,527.25 : x
2. Step 2: Convert to fraction form
   106,462.50/234,527.25 = 234,527.25/x
3. Step 3: Cross multiply
   106,462.50x = 234,527.25 × 234,527.25
4. Step 4: Simplify right side
   106,462.50x = 55,003,030,992.56
5. Step 5: Solve for x
   x = 55,003,030,992.56/106,462.50
6. Step 6: Final answer
   x = 516,642.30