Finding the Third Proportional to 111,975 and 164,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,975 : 164,695.50 = 164,695.50 : x
2. Step 2: Convert to fraction form
   111,975/164,695.50 = 164,695.50/x
3. Step 3: Cross multiply
   111,975x = 164,695.50 × 164,695.50
4. Step 4: Simplify right side
   111,975x = 27,124,607,720.25
5. Step 5: Solve for x
   x = 27,124,607,720.25/111,975
6. Step 6: Final answer
   x = 242,238.07