Finding the Third Proportional to 111,429 and 164,684.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111,429 : 164,684.25 = 164,684.25 : x
2. Step 2: Convert to fraction form
   111,429/164,684.25 = 164,684.25/x
3. Step 3: Cross multiply
   111,429x = 164,684.25 × 164,684.25
4. Step 4: Simplify right side
   111,429x = 27,120,902,198.06
5. Step 5: Solve for x
   x = 27,120,902,198.06/111,429
6. Step 6: Final answer
   x = 243,391.78