Finding the Third Proportional to 173,786 and 380,784

Step by Step Solution

1. Step 1: Write the proportion equation
   173,786 : 380,784 = 380,784 : x
2. Step 2: Convert to fraction form
   173,786/380,784 = 380,784/x
3. Step 3: Cross multiply
   173,786x = 380,784 × 380,784
4. Step 4: Simplify right side
   173,786x = 144,996,454,656
5. Step 5: Solve for x
   x = 144,996,454,656/173,786
6. Step 6: Final answer
   x = 834,339.10