Finding the Third Proportional to 301,968 and 466,963.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,968 : 466,963.50 = 466,963.50 : x
2. Step 2: Convert to fraction form
   301,968/466,963.50 = 466,963.50/x
3. Step 3: Cross multiply
   301,968x = 466,963.50 × 466,963.50
4. Step 4: Simplify right side
   301,968x = 218,054,910,332.25
5. Step 5: Solve for x
   x = 218,054,910,332.25/301,968
6. Step 6: Final answer
   x = 722,112.64