Finding the Third Proportional to 164,178 and 359,208

Step by Step Solution

1. Step 1: Write the proportion equation
   164,178 : 359,208 = 359,208 : x
2. Step 2: Convert to fraction form
   164,178/359,208 = 359,208/x
3. Step 3: Cross multiply
   164,178x = 359,208 × 359,208
4. Step 4: Simplify right side
   164,178x = 129,030,387,264
5. Step 5: Solve for x
   x = 129,030,387,264/164,178
6. Step 6: Final answer
   x = 785,917.65