Finding the Third Proportional to 110,196 and 238,704

Step by Step Solution

1. Step 1: Write the proportion equation
   110,196 : 238,704 = 238,704 : x
2. Step 2: Convert to fraction form
   110,196/238,704 = 238,704/x
3. Step 3: Cross multiply
   110,196x = 238,704 × 238,704
4. Step 4: Simplify right side
   110,196x = 56,979,599,616
5. Step 5: Solve for x
   x = 56,979,599,616/110,196
6. Step 6: Final answer
   x = 517,075.03