Finding the Third Proportional to 339,981 and 500,076

Step by Step Solution

1. Step 1: Write the proportion equation
   339,981 : 500,076 = 500,076 : x
2. Step 2: Convert to fraction form
   339,981/500,076 = 500,076/x
3. Step 3: Cross multiply
   339,981x = 500,076 × 500,076
4. Step 4: Simplify right side
   339,981x = 250,076,005,776
5. Step 5: Solve for x
   x = 250,076,005,776/339,981
6. Step 6: Final answer
   x = 735,558.77