Finding the Third Proportional to 344,172 and 506,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   344,172 : 506,128.50 = 506,128.50 : x
2. Step 2: Convert to fraction form
   344,172/506,128.50 = 506,128.50/x
3. Step 3: Cross multiply
   344,172x = 506,128.50 × 506,128.50
4. Step 4: Simplify right side
   344,172x = 256,166,058,512.25
5. Step 5: Solve for x
   x = 256,166,058,512.25/344,172
6. Step 6: Final answer
   x = 744,296.63