Finding the Third Proportional to 147,615 and 229,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,615 : 229,198.50 = 229,198.50 : x
2. Step 2: Convert to fraction form
   147,615/229,198.50 = 229,198.50/x
3. Step 3: Cross multiply
   147,615x = 229,198.50 × 229,198.50
4. Step 4: Simplify right side
   147,615x = 52,531,952,402.25
5. Step 5: Solve for x
   x = 52,531,952,402.25/147,615
6. Step 6: Final answer
   x = 355,871.37