Finding the Third Proportional to 300,122 and 457,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,122 : 457,806.50 = 457,806.50 : x
2. Step 2: Convert to fraction form
   300,122/457,806.50 = 457,806.50/x
3. Step 3: Cross multiply
   300,122x = 457,806.50 × 457,806.50
4. Step 4: Simplify right side
   300,122x = 209,586,791,442.25
5. Step 5: Solve for x
   x = 209,586,791,442.25/300,122
6. Step 6: Final answer
   x = 698,338.65