Finding the Third Proportional to 173,735 and 380,686

Step by Step Solution

1. Step 1: Write the proportion equation
   173,735 : 380,686 = 380,686 : x
2. Step 2: Convert to fraction form
   173,735/380,686 = 380,686/x
3. Step 3: Cross multiply
   173,735x = 380,686 × 380,686
4. Step 4: Simplify right side
   173,735x = 144,921,830,596
5. Step 5: Solve for x
   x = 144,921,830,596/173,735
6. Step 6: Final answer
   x = 834,154.49