Finding the Third Proportional to 164,938 and 360,116

Step by Step Solution

1. Step 1: Write the proportion equation
   164,938 : 360,116 = 360,116 : x
2. Step 2: Convert to fraction form
   164,938/360,116 = 360,116/x
3. Step 3: Cross multiply
   164,938x = 360,116 × 360,116
4. Step 4: Simplify right side
   164,938x = 129,683,533,456
5. Step 5: Solve for x
   x = 129,683,533,456/164,938
6. Step 6: Final answer
   x = 786,256.25