Finding the Third Proportional to 147,795 and 229,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,795 : 229,282.50 = 229,282.50 : x
2. Step 2: Convert to fraction form
   147,795/229,282.50 = 229,282.50/x
3. Step 3: Cross multiply
   147,795x = 229,282.50 × 229,282.50
4. Step 4: Simplify right side
   147,795x = 52,570,464,806.25
5. Step 5: Solve for x
   x = 52,570,464,806.25/147,795
6. Step 6: Final answer
   x = 355,698.53