Finding the Third Proportional to 83,479 and 185,619

Step by Step Solution

1. Step 1: Write the proportion equation
   83,479 : 185,619 = 185,619 : x
2. Step 2: Convert to fraction form
   83,479/185,619 = 185,619/x
3. Step 3: Cross multiply
   83,479x = 185,619 × 185,619
4. Step 4: Simplify right side
   83,479x = 34,454,413,161
5. Step 5: Solve for x
   x = 34,454,413,161/83,479
6. Step 6: Final answer
   x = 412,731.50