Finding the Third Proportional to 147,471 and 222,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,471 : 222,415.50 = 222,415.50 : x
2. Step 2: Convert to fraction form
   147,471/222,415.50 = 222,415.50/x
3. Step 3: Cross multiply
   147,471x = 222,415.50 × 222,415.50
4. Step 4: Simplify right side
   147,471x = 49,468,654,640.25
5. Step 5: Solve for x
   x = 49,468,654,640.25/147,471
6. Step 6: Final answer
   x = 335,446.66