Finding the Third Proportional to 210,092 and 461,006

Step by Step Solution

1. Step 1: Write the proportion equation
   210,092 : 461,006 = 461,006 : x
2. Step 2: Convert to fraction form
   210,092/461,006 = 461,006/x
3. Step 3: Cross multiply
   210,092x = 461,006 × 461,006
4. Step 4: Simplify right side
   210,092x = 212,526,532,036
5. Step 5: Solve for x
   x = 212,526,532,036/210,092
6. Step 6: Final answer
   x = 1,011,587.93