Finding the Third Proportional to 397,200 and 588,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   397,200 : 588,082.50 = 588,082.50 : x
2. Step 2: Convert to fraction form
   397,200/588,082.50 = 588,082.50/x
3. Step 3: Cross multiply
   397,200x = 588,082.50 × 588,082.50
4. Step 4: Simplify right side
   397,200x = 345,841,026,806.25
5. Step 5: Solve for x
   x = 345,841,026,806.25/397,200
6. Step 6: Final answer
   x = 870,697.45