Finding the Third Proportional to 338,994 and 460,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,994 : 460,396.50 = 460,396.50 : x
2. Step 2: Convert to fraction form
   338,994/460,396.50 = 460,396.50/x
3. Step 3: Cross multiply
   338,994x = 460,396.50 × 460,396.50
4. Step 4: Simplify right side
   338,994x = 211,964,937,212.25
5. Step 5: Solve for x
   x = 211,964,937,212.25/338,994
6. Step 6: Final answer
   x = 625,276.37