Finding the Third Proportional to 178,166 and 371,072

Step by Step Solution

1. Step 1: Write the proportion equation
   178,166 : 371,072 = 371,072 : x
2. Step 2: Convert to fraction form
   178,166/371,072 = 371,072/x
3. Step 3: Cross multiply
   178,166x = 371,072 × 371,072
4. Step 4: Simplify right side
   178,166x = 137,694,429,184
5. Step 5: Solve for x
   x = 137,694,429,184/178,166
6. Step 6: Final answer
   x = 772,843.47