Finding the Third Proportional to 175,658 and 263,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,658 : 263,006.50 = 263,006.50 : x
2. Step 2: Convert to fraction form
   175,658/263,006.50 = 263,006.50/x
3. Step 3: Cross multiply
   175,658x = 263,006.50 × 263,006.50
4. Step 4: Simplify right side
   175,658x = 69,172,419,042.25
5. Step 5: Solve for x
   x = 69,172,419,042.25/175,658
6. Step 6: Final answer
   x = 393,790.31