Finding the Third Proportional to 83,315 and 180,846

Step by Step Solution

1. Step 1: Write the proportion equation
   83,315 : 180,846 = 180,846 : x
2. Step 2: Convert to fraction form
   83,315/180,846 = 180,846/x
3. Step 3: Cross multiply
   83,315x = 180,846 × 180,846
4. Step 4: Simplify right side
   83,315x = 32,705,275,716
5. Step 5: Solve for x
   x = 32,705,275,716/83,315
6. Step 6: Final answer
   x = 392,549.67