Finding the Third Proportional to 222,783 and 463,926

Step by Step Solution

1. Step 1: Write the proportion equation
   222,783 : 463,926 = 463,926 : x
2. Step 2: Convert to fraction form
   222,783/463,926 = 463,926/x
3. Step 3: Cross multiply
   222,783x = 463,926 × 463,926
4. Step 4: Simplify right side
   222,783x = 215,227,333,476
5. Step 5: Solve for x
   x = 215,227,333,476/222,783
6. Step 6: Final answer
   x = 966,085.08