Finding the Third Proportional to 365,838.50 and 546,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   365,838.50 : 546,003.50 = 546,003.50 : x
2. Step 2: Convert to fraction form
   365,838.50/546,003.50 = 546,003.50/x
3. Step 3: Cross multiply
   365,838.50x = 546,003.50 × 546,003.50
4. Step 4: Simplify right side
   365,838.50x = 298,119,822,012.25
5. Step 5: Solve for x
   x = 298,119,822,012.25/365,838.50
6. Step 6: Final answer
   x = 814,894.61