Finding the Third Proportional to 172,536 and 352,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,536 : 352,114.50 = 352,114.50 : x
2. Step 2: Convert to fraction form
   172,536/352,114.50 = 352,114.50/x
3. Step 3: Cross multiply
   172,536x = 352,114.50 × 352,114.50
4. Step 4: Simplify right side
   172,536x = 123,984,621,110.25
5. Step 5: Solve for x
   x = 123,984,621,110.25/172,536
6. Step 6: Final answer
   x = 718,601.46