Finding the Third Proportional to 420,024 and 921,695.25

Step by Step Solution

1. Step 1: Write the proportion equation
   420,024 : 921,695.25 = 921,695.25 : x
2. Step 2: Convert to fraction form
   420,024/921,695.25 = 921,695.25/x
3. Step 3: Cross multiply
   420,024x = 921,695.25 × 921,695.25
4. Step 4: Simplify right side
   420,024x = 849,522,133,872.56
5. Step 5: Solve for x
   x = 849,522,133,872.56/420,024
6. Step 6: Final answer
   x = 2,022,556.17