Finding the Third Proportional to 123,570 and 164,820

Step by Step Solution

1. Step 1: Write the proportion equation
   123,570 : 164,820 = 164,820 : x
2. Step 2: Convert to fraction form
   123,570/164,820 = 164,820/x
3. Step 3: Cross multiply
   123,570x = 164,820 × 164,820
4. Step 4: Simplify right side
   123,570x = 27,165,632,400
5. Step 5: Solve for x
   x = 27,165,632,400/123,570
6. Step 6: Final answer
   x = 219,840.03