Finding the Third Proportional to 165,996 and 360,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,996 : 360,139.50 = 360,139.50 : x
2. Step 2: Convert to fraction form
   165,996/360,139.50 = 360,139.50/x
3. Step 3: Cross multiply
   165,996x = 360,139.50 × 360,139.50
4. Step 4: Simplify right side
   165,996x = 129,700,459,460.25
5. Step 5: Solve for x
   x = 129,700,459,460.25/165,996
6. Step 6: Final answer
   x = 781,346.90