Finding the Third Proportional to 176,340 and 268,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,340 : 268,654.50 = 268,654.50 : x
2. Step 2: Convert to fraction form
   176,340/268,654.50 = 268,654.50/x
3. Step 3: Cross multiply
   176,340x = 268,654.50 × 268,654.50
4. Step 4: Simplify right side
   176,340x = 72,175,240,370.25
5. Step 5: Solve for x
   x = 72,175,240,370.25/176,340
6. Step 6: Final answer
   x = 409,295.91