Finding the Third Proportional to 151,294.50 and 205,575

Step by Step Solution

1. Step 1: Write the proportion equation
   151,294.50 : 205,575 = 205,575 : x
2. Step 2: Convert to fraction form
   151,294.50/205,575 = 205,575/x
3. Step 3: Cross multiply
   151,294.50x = 205,575 × 205,575
4. Step 4: Simplify right side
   151,294.50x = 42,261,080,625
5. Step 5: Solve for x
   x = 42,261,080,625/151,294.50
6. Step 6: Final answer
   x = 279,329.92