Finding the Third Proportional to 301,458 and 456,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,458 : 456,082.50 = 456,082.50 : x
2. Step 2: Convert to fraction form
   301,458/456,082.50 = 456,082.50/x
3. Step 3: Cross multiply
   301,458x = 456,082.50 × 456,082.50
4. Step 4: Simplify right side
   301,458x = 208,011,246,806.25
5. Step 5: Solve for x
   x = 208,011,246,806.25/301,458
6. Step 6: Final answer
   x = 690,017.34