Finding the Third Proportional to 400,680 and 846,072

Step by Step Solution

1. Step 1: Write the proportion equation
   400,680 : 846,072 = 846,072 : x
2. Step 2: Convert to fraction form
   400,680/846,072 = 846,072/x
3. Step 3: Cross multiply
   400,680x = 846,072 × 846,072
4. Step 4: Simplify right side
   400,680x = 715,837,829,184
5. Step 5: Solve for x
   x = 715,837,829,184/400,680
6. Step 6: Final answer
   x = 1,786,557.43