Finding the Third Proportional to 184,096 and 402,640

Step by Step Solution

1. Step 1: Write the proportion equation
   184,096 : 402,640 = 402,640 : x
2. Step 2: Convert to fraction form
   184,096/402,640 = 402,640/x
3. Step 3: Cross multiply
   184,096x = 402,640 × 402,640
4. Step 4: Simplify right side
   184,096x = 162,118,969,600
5. Step 5: Solve for x
   x = 162,118,969,600/184,096
6. Step 6: Final answer
   x = 880,621.90