Finding the Third Proportional to 397,206 and 588,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   397,206 : 588,091.50 = 588,091.50 : x
2. Step 2: Convert to fraction form
   397,206/588,091.50 = 588,091.50/x
3. Step 3: Cross multiply
   397,206x = 588,091.50 × 588,091.50
4. Step 4: Simplify right side
   397,206x = 345,851,612,372.25
5. Step 5: Solve for x
   x = 345,851,612,372.25/397,206
6. Step 6: Final answer
   x = 870,710.95