Finding the Third Proportional to 386,643 and 591,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,643 : 591,520.50 = 591,520.50 : x
2. Step 2: Convert to fraction form
   386,643/591,520.50 = 591,520.50/x
3. Step 3: Cross multiply
   386,643x = 591,520.50 × 591,520.50
4. Step 4: Simplify right side
   386,643x = 349,896,501,920.25
5. Step 5: Solve for x
   x = 349,896,501,920.25/386,643
6. Step 6: Final answer
   x = 904,960.14