Finding the Third Proportional to 76,346 and 166,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,346 : 166,243.50 = 166,243.50 : x
2. Step 2: Convert to fraction form
   76,346/166,243.50 = 166,243.50/x
3. Step 3: Cross multiply
   76,346x = 166,243.50 × 166,243.50
4. Step 4: Simplify right side
   76,346x = 27,636,901,292.25
5. Step 5: Solve for x
   x = 27,636,901,292.25/76,346
6. Step 6: Final answer
   x = 361,995.41