Finding the Third Proportional to 69,738 and 164,607

Step by Step Solution

1. Step 1: Write the proportion equation
   69,738 : 164,607 = 164,607 : x
2. Step 2: Convert to fraction form
   69,738/164,607 = 164,607/x
3. Step 3: Cross multiply
   69,738x = 164,607 × 164,607
4. Step 4: Simplify right side
   69,738x = 27,095,464,449
5. Step 5: Solve for x
   x = 27,095,464,449/69,738
6. Step 6: Final answer
   x = 388,532.28