Finding the Third Proportional to 76,507.25 and 165,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,507.25 : 165,719.50 = 165,719.50 : x
2. Step 2: Convert to fraction form
   76,507.25/165,719.50 = 165,719.50/x
3. Step 3: Cross multiply
   76,507.25x = 165,719.50 × 165,719.50
4. Step 4: Simplify right side
   76,507.25x = 27,462,952,680.25
5. Step 5: Solve for x
   x = 27,462,952,680.25/76,507.25
6. Step 6: Final answer
   x = 358,958.83