Finding the Third Proportional to 164,404 and 359,248

Step by Step Solution

1. Step 1: Write the proportion equation
   164,404 : 359,248 = 359,248 : x
2. Step 2: Convert to fraction form
   164,404/359,248 = 359,248/x
3. Step 3: Cross multiply
   164,404x = 359,248 × 359,248
4. Step 4: Simplify right side
   164,404x = 129,059,125,504
5. Step 5: Solve for x
   x = 129,059,125,504/164,404
6. Step 6: Final answer
   x = 785,012.08