Finding the Third Proportional to 147,783 and 229,298.25

Step by Step Solution

1. Step 1: Write the proportion equation
   147,783 : 229,298.25 = 229,298.25 : x
2. Step 2: Convert to fraction form
   147,783/229,298.25 = 229,298.25/x
3. Step 3: Cross multiply
   147,783x = 229,298.25 × 229,298.25
4. Step 4: Simplify right side
   147,783x = 52,577,687,453.06
5. Step 5: Solve for x
   x = 52,577,687,453.06/147,783
6. Step 6: Final answer
   x = 355,776.29