Finding the Third Proportional to 147,686 and 320,076

Step by Step Solution

1. Step 1: Write the proportion equation
   147,686 : 320,076 = 320,076 : x
2. Step 2: Convert to fraction form
   147,686/320,076 = 320,076/x
3. Step 3: Cross multiply
   147,686x = 320,076 × 320,076
4. Step 4: Simplify right side
   147,686x = 102,448,645,776
5. Step 5: Solve for x
   x = 102,448,645,776/147,686
6. Step 6: Final answer
   x = 693,692.33