Finding the Third Proportional to 229,061 and 342,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,061 : 342,533.50 = 342,533.50 : x
2. Step 2: Convert to fraction form
   229,061/342,533.50 = 342,533.50/x
3. Step 3: Cross multiply
   229,061x = 342,533.50 × 342,533.50
4. Step 4: Simplify right side
   229,061x = 117,329,198,622.25
5. Step 5: Solve for x
   x = 117,329,198,622.25/229,061
6. Step 6: Final answer
   x = 512,218.14