Finding the Third Proportional to 153,924 and 222,726

Step by Step Solution

1. Step 1: Write the proportion equation
   153,924 : 222,726 = 222,726 : x
2. Step 2: Convert to fraction form
   153,924/222,726 = 222,726/x
3. Step 3: Cross multiply
   153,924x = 222,726 × 222,726
4. Step 4: Simplify right side
   153,924x = 49,606,871,076
5. Step 5: Solve for x
   x = 49,606,871,076/153,924
6. Step 6: Final answer
   x = 322,281.59