Finding the Third Proportional to 93,789 and 205,380

Step by Step Solution

1. Step 1: Write the proportion equation
   93,789 : 205,380 = 205,380 : x
2. Step 2: Convert to fraction form
   93,789/205,380 = 205,380/x
3. Step 3: Cross multiply
   93,789x = 205,380 × 205,380
4. Step 4: Simplify right side
   93,789x = 42,180,944,400
5. Step 5: Solve for x
   x = 42,180,944,400/93,789
6. Step 6: Final answer
   x = 449,742.98