Finding the Third Proportional to 502,698 and 1,077,357

Step by Step Solution

1. Step 1: Write the proportion equation
   502,698 : 1,077,357 = 1,077,357 : x
2. Step 2: Convert to fraction form
   502,698/1,077,357 = 1,077,357/x
3. Step 3: Cross multiply
   502,698x = 1,077,357 × 1,077,357
4. Step 4: Simplify right side
   502,698x = 1,160,698,105,449
5. Step 5: Solve for x
   x = 1,160,698,105,449/502,698
6. Step 6: Final answer
   x = 2,308,937.19