Finding the Third Proportional to 123,201 and 178,058.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,201 : 178,058.25 = 178,058.25 : x
2. Step 2: Convert to fraction form
   123,201/178,058.25 = 178,058.25/x
3. Step 3: Cross multiply
   123,201x = 178,058.25 × 178,058.25
4. Step 4: Simplify right side
   123,201x = 31,704,740,393.06
5. Step 5: Solve for x
   x = 31,704,740,393.06/123,201
6. Step 6: Final answer
   x = 257,341.58