Finding the Third Proportional to 157,084 and 222,093

Step by Step Solution

1. Step 1: Write the proportion equation
   157,084 : 222,093 = 222,093 : x
2. Step 2: Convert to fraction form
   157,084/222,093 = 222,093/x
3. Step 3: Cross multiply
   157,084x = 222,093 × 222,093
4. Step 4: Simplify right side
   157,084x = 49,325,300,649
5. Step 5: Solve for x
   x = 49,325,300,649/157,084
6. Step 6: Final answer
   x = 314,005.89