Finding the Third Proportional to 173,614.50 and 380,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   173,614.50 : 380,465.50 = 380,465.50 : x
2. Step 2: Convert to fraction form
   173,614.50/380,465.50 = 380,465.50/x
3. Step 3: Cross multiply
   173,614.50x = 380,465.50 × 380,465.50
4. Step 4: Simplify right side
   173,614.50x = 144,753,996,690.25
5. Step 5: Solve for x
   x = 144,753,996,690.25/173,614.50
6. Step 6: Final answer
   x = 833,766.75