Finding the Third Proportional to 157,100 and 222,116

Step by Step Solution

1. Step 1: Write the proportion equation
   157,100 : 222,116 = 222,116 : x
2. Step 2: Convert to fraction form
   157,100/222,116 = 222,116/x
3. Step 3: Cross multiply
   157,100x = 222,116 × 222,116
4. Step 4: Simplify right side
   157,100x = 49,335,517,456
5. Step 5: Solve for x
   x = 49,335,517,456/157,100
6. Step 6: Final answer
   x = 314,038.94