Finding the Third Proportional to 338,985 and 498,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,985 : 498,109.50 = 498,109.50 : x
2. Step 2: Convert to fraction form
   338,985/498,109.50 = 498,109.50/x
3. Step 3: Cross multiply
   338,985x = 498,109.50 × 498,109.50
4. Step 4: Simplify right side
   338,985x = 248,113,073,990.25
5. Step 5: Solve for x
   x = 248,113,073,990.25/338,985
6. Step 6: Final answer
   x = 731,929.36