Finding the Third Proportional to 148,468.50 and 189,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,468.50 : 189,067.50 = 189,067.50 : x
2. Step 2: Convert to fraction form
   148,468.50/189,067.50 = 189,067.50/x
3. Step 3: Cross multiply
   148,468.50x = 189,067.50 × 189,067.50
4. Step 4: Simplify right side
   148,468.50x = 35,746,519,556.25
5. Step 5: Solve for x
   x = 35,746,519,556.25/148,468.50
6. Step 6: Final answer
   x = 240,768.38