Finding the Third Proportional to 338,888 and 733,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,888 : 733,566.50 = 733,566.50 : x
2. Step 2: Convert to fraction form
   338,888/733,566.50 = 733,566.50/x
3. Step 3: Cross multiply
   338,888x = 733,566.50 × 733,566.50
4. Step 4: Simplify right side
   338,888x = 538,119,809,922.25
5. Step 5: Solve for x
   x = 538,119,809,922.25/338,888
6. Step 6: Final answer
   x = 1,587,898.69