Finding the Third Proportional to 165,186 and 364,506.75

Step by Step Solution

1. Step 1: Write the proportion equation
   165,186 : 364,506.75 = 364,506.75 : x
2. Step 2: Convert to fraction form
   165,186/364,506.75 = 364,506.75/x
3. Step 3: Cross multiply
   165,186x = 364,506.75 × 364,506.75
4. Step 4: Simplify right side
   165,186x = 132,865,170,795.56
5. Step 5: Solve for x
   x = 132,865,170,795.56/165,186
6. Step 6: Final answer
   x = 804,336.75