Finding the Third Proportional to 338,599.50 and 705,222

Step by Step Solution

1. Step 1: Write the proportion equation
   338,599.50 : 705,222 = 705,222 : x
2. Step 2: Convert to fraction form
   338,599.50/705,222 = 705,222/x
3. Step 3: Cross multiply
   338,599.50x = 705,222 × 705,222
4. Step 4: Simplify right side
   338,599.50x = 497,338,069,284
5. Step 5: Solve for x
   x = 497,338,069,284/338,599.50
6. Step 6: Final answer
   x = 1,468,809.23