Finding the Third Proportional to 340,858 and 518,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   340,858 : 518,368.50 = 518,368.50 : x
2. Step 2: Convert to fraction form
   340,858/518,368.50 = 518,368.50/x
3. Step 3: Cross multiply
   340,858x = 518,368.50 × 518,368.50
4. Step 4: Simplify right side
   340,858x = 268,705,901,792.25
5. Step 5: Solve for x
   x = 268,705,901,792.25/340,858
6. Step 6: Final answer
   x = 788,322.12