Finding the Third Proportional to 378,843 and 588,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,843 : 588,184.50 = 588,184.50 : x
2. Step 2: Convert to fraction form
   378,843/588,184.50 = 588,184.50/x
3. Step 3: Cross multiply
   378,843x = 588,184.50 × 588,184.50
4. Step 4: Simplify right side
   378,843x = 345,961,006,040.25
5. Step 5: Solve for x
   x = 345,961,006,040.25/378,843
6. Step 6: Final answer
   x = 913,204.17