Finding the Third Proportional to 147,789 and 320,271

Step by Step Solution

1. Step 1: Write the proportion equation
   147,789 : 320,271 = 320,271 : x
2. Step 2: Convert to fraction form
   147,789/320,271 = 320,271/x
3. Step 3: Cross multiply
   147,789x = 320,271 × 320,271
4. Step 4: Simplify right side
   147,789x = 102,573,513,441
5. Step 5: Solve for x
   x = 102,573,513,441/147,789
6. Step 6: Final answer
   x = 694,053.78