Finding the Third Proportional to 111,969 and 164,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,969 : 164,686.50 = 164,686.50 : x
2. Step 2: Convert to fraction form
   111,969/164,686.50 = 164,686.50/x
3. Step 3: Cross multiply
   111,969x = 164,686.50 × 164,686.50
4. Step 4: Simplify right side
   111,969x = 27,121,643,282.25
5. Step 5: Solve for x
   x = 27,121,643,282.25/111,969
6. Step 6: Final answer
   x = 242,224.57