Finding the Third Proportional to 397,193 and 588,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   397,193 : 588,073.50 = 588,073.50 : x
2. Step 2: Convert to fraction form
   397,193/588,073.50 = 588,073.50/x
3. Step 3: Cross multiply
   397,193x = 588,073.50 × 588,073.50
4. Step 4: Simplify right side
   397,193x = 345,830,441,402.25
5. Step 5: Solve for x
   x = 345,830,441,402.25/397,193
6. Step 6: Final answer
   x = 870,686.14