Finding the Third Proportional to 69,781 and 164,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,781 : 164,564.50 = 164,564.50 : x
2. Step 2: Convert to fraction form
   69,781/164,564.50 = 164,564.50/x
3. Step 3: Cross multiply
   69,781x = 164,564.50 × 164,564.50
4. Step 4: Simplify right side
   69,781x = 27,081,474,660.25
5. Step 5: Solve for x
   x = 27,081,474,660.25/69,781
6. Step 6: Final answer
   x = 388,092.38