Finding the Third Proportional to 165,942 and 364,140

Step by Step Solution

1. Step 1: Write the proportion equation
   165,942 : 364,140 = 364,140 : x
2. Step 2: Convert to fraction form
   165,942/364,140 = 364,140/x
3. Step 3: Cross multiply
   165,942x = 364,140 × 364,140
4. Step 4: Simplify right side
   165,942x = 132,597,939,600
5. Step 5: Solve for x
   x = 132,597,939,600/165,942
6. Step 6: Final answer
   x = 799,061.96