Finding the Third Proportional to 164,402 and 359,244

Step by Step Solution

1. Step 1: Write the proportion equation
   164,402 : 359,244 = 359,244 : x
2. Step 2: Convert to fraction form
   164,402/359,244 = 359,244/x
3. Step 3: Cross multiply
   164,402x = 359,244 × 359,244
4. Step 4: Simplify right side
   164,402x = 129,056,251,536
5. Step 5: Solve for x
   x = 129,056,251,536/164,402
6. Step 6: Final answer
   x = 785,004.15