Finding the Third Proportional to 106,798.50 and 233,271

Step by Step Solution

1. Step 1: Write the proportion equation
   106,798.50 : 233,271 = 233,271 : x
2. Step 2: Convert to fraction form
   106,798.50/233,271 = 233,271/x
3. Step 3: Cross multiply
   106,798.50x = 233,271 × 233,271
4. Step 4: Simplify right side
   106,798.50x = 54,415,359,441
5. Step 5: Solve for x
   x = 54,415,359,441/106,798.50
6. Step 6: Final answer
   x = 509,514.27