Finding the Third Proportional to 157,223.50 and 222,258

Step by Step Solution

1. Step 1: Write the proportion equation
   157,223.50 : 222,258 = 222,258 : x
2. Step 2: Convert to fraction form
   157,223.50/222,258 = 222,258/x
3. Step 3: Cross multiply
   157,223.50x = 222,258 × 222,258
4. Step 4: Simplify right side
   157,223.50x = 49,398,618,564
5. Step 5: Solve for x
   x = 49,398,618,564/157,223.50
6. Step 6: Final answer
   x = 314,193.61