Finding the Third Proportional to 164,792 and 359,776

Step by Step Solution

1. Step 1: Write the proportion equation
   164,792 : 359,776 = 359,776 : x
2. Step 2: Convert to fraction form
   164,792/359,776 = 359,776/x
3. Step 3: Cross multiply
   164,792x = 359,776 × 359,776
4. Step 4: Simplify right side
   164,792x = 129,438,770,176
5. Step 5: Solve for x
   x = 129,438,770,176/164,792
6. Step 6: Final answer
   x = 785,467.56