Finding the Third Proportional to 86,783 and 180,478

Step by Step Solution

1. Step 1: Write the proportion equation
   86,783 : 180,478 = 180,478 : x
2. Step 2: Convert to fraction form
   86,783/180,478 = 180,478/x
3. Step 3: Cross multiply
   86,783x = 180,478 × 180,478
4. Step 4: Simplify right side
   86,783x = 32,572,308,484
5. Step 5: Solve for x
   x = 32,572,308,484/86,783
6. Step 6: Final answer
   x = 375,330.52