Finding the Third Proportional to 175,536 and 264,539.25

Step by Step Solution

1. Step 1: Write the proportion equation
   175,536 : 264,539.25 = 264,539.25 : x
2. Step 2: Convert to fraction form
   175,536/264,539.25 = 264,539.25/x
3. Step 3: Cross multiply
   175,536x = 264,539.25 × 264,539.25
4. Step 4: Simplify right side
   175,536x = 69,981,014,790.56
5. Step 5: Solve for x
   x = 69,981,014,790.56/175,536
6. Step 6: Final answer
   x = 398,670.44