Finding the Third Proportional to 222,078 and 291,570

Step by Step Solution

1. Step 1: Write the proportion equation
   222,078 : 291,570 = 291,570 : x
2. Step 2: Convert to fraction form
   222,078/291,570 = 291,570/x
3. Step 3: Cross multiply
   222,078x = 291,570 × 291,570
4. Step 4: Simplify right side
   222,078x = 85,013,064,900
5. Step 5: Solve for x
   x = 85,013,064,900/222,078
6. Step 6: Final answer
   x = 382,807.23