Finding the Third Proportional to 400,020 and 562,680

Step by Step Solution

1. Step 1: Write the proportion equation
   400,020 : 562,680 = 562,680 : x
2. Step 2: Convert to fraction form
   400,020/562,680 = 562,680/x
3. Step 3: Cross multiply
   400,020x = 562,680 × 562,680
4. Step 4: Simplify right side
   400,020x = 316,608,782,400
5. Step 5: Solve for x
   x = 316,608,782,400/400,020
6. Step 6: Final answer
   x = 791,482.38