Finding the Third Proportional to 238,196 and 510,929

Step by Step Solution

1. Step 1: Write the proportion equation
   238,196 : 510,929 = 510,929 : x
2. Step 2: Convert to fraction form
   238,196/510,929 = 510,929/x
3. Step 3: Cross multiply
   238,196x = 510,929 × 510,929
4. Step 4: Simplify right side
   238,196x = 261,048,443,041
5. Step 5: Solve for x
   x = 261,048,443,041/238,196
6. Step 6: Final answer
   x = 1,095,939.66