Finding the Third Proportional to 259,783 and 406,076

Step by Step Solution

1. Step 1: Write the proportion equation
   259,783 : 406,076 = 406,076 : x
2. Step 2: Convert to fraction form
   259,783/406,076 = 406,076/x
3. Step 3: Cross multiply
   259,783x = 406,076 × 406,076
4. Step 4: Simplify right side
   259,783x = 164,897,717,776
5. Step 5: Solve for x
   x = 164,897,717,776/259,783
6. Step 6: Final answer
   x = 634,751.77