Finding the Third Proportional to 502,588 and 777,222

Step by Step Solution

1. Step 1: Write the proportion equation
   502,588 : 777,222 = 777,222 : x
2. Step 2: Convert to fraction form
   502,588/777,222 = 777,222/x
3. Step 3: Cross multiply
   502,588x = 777,222 × 777,222
4. Step 4: Simplify right side
   502,588x = 604,074,037,284
5. Step 5: Solve for x
   x = 604,074,037,284/502,588
6. Step 6: Final answer
   x = 1,201,926.90