Finding the Third Proportional to 164,457 and 222,844.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,457 : 222,844.50 = 222,844.50 : x
2. Step 2: Convert to fraction form
   164,457/222,844.50 = 222,844.50/x
3. Step 3: Cross multiply
   164,457x = 222,844.50 × 222,844.50
4. Step 4: Simplify right side
   164,457x = 49,659,671,180.25
5. Step 5: Solve for x
   x = 49,659,671,180.25/164,457
6. Step 6: Final answer
   x = 301,961.43