Finding the Third Proportional to 164,407.50 and 222,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,407.50 : 222,796.50 = 222,796.50 : x
2. Step 2: Convert to fraction form
   164,407.50/222,796.50 = 222,796.50/x
3. Step 3: Cross multiply
   164,407.50x = 222,796.50 × 222,796.50
4. Step 4: Simplify right side
   164,407.50x = 49,638,280,412.25
5. Step 5: Solve for x
   x = 49,638,280,412.25/164,407.50
6. Step 6: Final answer
   x = 301,922.24