Finding the Third Proportional to 166,002 and 360,152

Step by Step Solution

1. Step 1: Write the proportion equation
   166,002 : 360,152 = 360,152 : x
2. Step 2: Convert to fraction form
   166,002/360,152 = 360,152/x
3. Step 3: Cross multiply
   166,002x = 360,152 × 360,152
4. Step 4: Simplify right side
   166,002x = 129,709,463,104
5. Step 5: Solve for x
   x = 129,709,463,104/166,002
6. Step 6: Final answer
   x = 781,372.89