Finding the Third Proportional to 502,543.50 and 777,144

Step by Step Solution

1. Step 1: Write the proportion equation
   502,543.50 : 777,144 = 777,144 : x
2. Step 2: Convert to fraction form
   502,543.50/777,144 = 777,144/x
3. Step 3: Cross multiply
   502,543.50x = 777,144 × 777,144
4. Step 4: Simplify right side
   502,543.50x = 603,952,796,736
5. Step 5: Solve for x
   x = 603,952,796,736/502,543.50
6. Step 6: Final answer
   x = 1,201,792.08