Finding the Third Proportional to 76,617 and 162,355.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,617 : 162,355.50 = 162,355.50 : x
2. Step 2: Convert to fraction form
   76,617/162,355.50 = 162,355.50/x
3. Step 3: Cross multiply
   76,617x = 162,355.50 × 162,355.50
4. Step 4: Simplify right side
   76,617x = 26,359,308,380.25
5. Step 5: Solve for x
   x = 26,359,308,380.25/76,617
6. Step 6: Final answer
   x = 344,039.94