Finding the Third Proportional to 151,409.25 and 205,714.69

Step by Step Solution

1. Step 1: Write the proportion equation
   151,409.25 : 205,714.69 = 205,714.69 : x
2. Step 2: Convert to fraction form
   151,409.25/205,714.69 = 205,714.69/x
3. Step 3: Cross multiply
   151,409.25x = 205,714.69 × 205,714.69
4. Step 4: Simplify right side
   151,409.25x = 42,318,532,653.22
5. Step 5: Solve for x
   x = 42,318,532,653.22/151,409.25
6. Step 6: Final answer
   x = 279,497.67