Finding the Third Proportional to 420,538.50 and 896,123.25

Step by Step Solution

1. Step 1: Write the proportion equation
   420,538.50 : 896,123.25 = 896,123.25 : x
2. Step 2: Convert to fraction form
   420,538.50/896,123.25 = 896,123.25/x
3. Step 3: Cross multiply
   420,538.50x = 896,123.25 × 896,123.25
4. Step 4: Simplify right side
   420,538.50x = 803,036,879,190.56
5. Step 5: Solve for x
   x = 803,036,879,190.56/420,538.50
6. Step 6: Final answer
   x = 1,909,544.26