Finding the Third Proportional to 176,272 and 268,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,272 : 268,539.50 = 268,539.50 : x
2. Step 2: Convert to fraction form
   176,272/268,539.50 = 268,539.50/x
3. Step 3: Cross multiply
   176,272x = 268,539.50 × 268,539.50
4. Step 4: Simplify right side
   176,272x = 72,113,463,060.25
5. Step 5: Solve for x
   x = 72,113,463,060.25/176,272
6. Step 6: Final answer
   x = 409,103.33