Finding the Third Proportional to 176,266 and 264,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,266 : 264,793.50 = 264,793.50 : x
2. Step 2: Convert to fraction form
   176,266/264,793.50 = 264,793.50/x
3. Step 3: Cross multiply
   176,266x = 264,793.50 × 264,793.50
4. Step 4: Simplify right side
   176,266x = 70,115,597,642.25
5. Step 5: Solve for x
   x = 70,115,597,642.25/176,266
6. Step 6: Final answer
   x = 397,782.88