Finding the Third Proportional to 503,116 and 747,834

Step by Step Solution

1. Step 1: Write the proportion equation
   503,116 : 747,834 = 747,834 : x
2. Step 2: Convert to fraction form
   503,116/747,834 = 747,834/x
3. Step 3: Cross multiply
   503,116x = 747,834 × 747,834
4. Step 4: Simplify right side
   503,116x = 559,255,691,556
5. Step 5: Solve for x
   x = 559,255,691,556/503,116
6. Step 6: Final answer
   x = 1,111,583.99