Finding the Third Proportional to 386,333.25 and 591,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,333.25 : 591,022.50 = 591,022.50 : x
2. Step 2: Convert to fraction form
   386,333.25/591,022.50 = 591,022.50/x
3. Step 3: Cross multiply
   386,333.25x = 591,022.50 × 591,022.50
4. Step 4: Simplify right side
   386,333.25x = 349,307,595,506.25
5. Step 5: Solve for x
   x = 349,307,595,506.25/386,333.25
6. Step 6: Final answer
   x = 904,161.36