Finding the Third Proportional to 164,796 and 359,784

Step by Step Solution

1. Step 1: Write the proportion equation
   164,796 : 359,784 = 359,784 : x
2. Step 2: Convert to fraction form
   164,796/359,784 = 359,784/x
3. Step 3: Cross multiply
   164,796x = 359,784 × 359,784
4. Step 4: Simplify right side
   164,796x = 129,444,526,656
5. Step 5: Solve for x
   x = 129,444,526,656/164,796
6. Step 6: Final answer
   x = 785,483.43