Finding the Third Proportional to 83,789 and 179,572

Step by Step Solution

1. Step 1: Write the proportion equation
   83,789 : 179,572 = 179,572 : x
2. Step 2: Convert to fraction form
   83,789/179,572 = 179,572/x
3. Step 3: Cross multiply
   83,789x = 179,572 × 179,572
4. Step 4: Simplify right side
   83,789x = 32,246,103,184
5. Step 5: Solve for x
   x = 32,246,103,184/83,789
6. Step 6: Final answer
   x = 384,848.88