Finding the Third Proportional to 212,810 and 456,978

Step by Step Solution

1. Step 1: Write the proportion equation
   212,810 : 456,978 = 456,978 : x
2. Step 2: Convert to fraction form
   212,810/456,978 = 456,978/x
3. Step 3: Cross multiply
   212,810x = 456,978 × 456,978
4. Step 4: Simplify right side
   212,810x = 208,828,892,484
5. Step 5: Solve for x
   x = 208,828,892,484/212,810
6. Step 6: Final answer
   x = 981,292.67