Finding the Third Proportional to 164,815 and 359,006

Step by Step Solution

1. Step 1: Write the proportion equation
   164,815 : 359,006 = 359,006 : x
2. Step 2: Convert to fraction form
   164,815/359,006 = 359,006/x
3. Step 3: Cross multiply
   164,815x = 359,006 × 359,006
4. Step 4: Simplify right side
   164,815x = 128,885,308,036
5. Step 5: Solve for x
   x = 128,885,308,036/164,815
6. Step 6: Final answer
   x = 781,999.87