Finding the Third Proportional to 111,714 and 239,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,714 : 239,419.50 = 239,419.50 : x
2. Step 2: Convert to fraction form
   111,714/239,419.50 = 239,419.50/x
3. Step 3: Cross multiply
   111,714x = 239,419.50 × 239,419.50
4. Step 4: Simplify right side
   111,714x = 57,321,696,980.25
5. Step 5: Solve for x
   x = 57,321,696,980.25/111,714
6. Step 6: Final answer
   x = 513,111.13