Finding the Third Proportional to 364,656 and 766,164

Step by Step Solution

1. Step 1: Write the proportion equation
   364,656 : 766,164 = 766,164 : x
2. Step 2: Convert to fraction form
   364,656/766,164 = 766,164/x
3. Step 3: Cross multiply
   364,656x = 766,164 × 766,164
4. Step 4: Simplify right side
   364,656x = 587,007,274,896
5. Step 5: Solve for x
   x = 587,007,274,896/364,656
6. Step 6: Final answer
   x = 1,609,756.25