Finding the Third Proportional to 147,966 and 225,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,966 : 225,634.50 = 225,634.50 : x
2. Step 2: Convert to fraction form
   147,966/225,634.50 = 225,634.50/x
3. Step 3: Cross multiply
   147,966x = 225,634.50 × 225,634.50
4. Step 4: Simplify right side
   147,966x = 50,910,927,590.25
5. Step 5: Solve for x
   x = 50,910,927,590.25/147,966
6. Step 6: Final answer
   x = 344,071.80