Finding the Third Proportional to 259,078 and 561,164

Step by Step Solution

1. Step 1: Write the proportion equation
   259,078 : 561,164 = 561,164 : x
2. Step 2: Convert to fraction form
   259,078/561,164 = 561,164/x
3. Step 3: Cross multiply
   259,078x = 561,164 × 561,164
4. Step 4: Simplify right side
   259,078x = 314,905,034,896
5. Step 5: Solve for x
   x = 314,905,034,896/259,078
6. Step 6: Final answer
   x = 1,215,483.50