Finding the Third Proportional to 365,643 and 558,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   365,643 : 558,184.50 = 558,184.50 : x
2. Step 2: Convert to fraction form
   365,643/558,184.50 = 558,184.50/x
3. Step 3: Cross multiply
   365,643x = 558,184.50 × 558,184.50
4. Step 4: Simplify right side
   365,643x = 311,569,936,040.25
5. Step 5: Solve for x
   x = 311,569,936,040.25/365,643
6. Step 6: Final answer
   x = 852,115.14