Finding the Third Proportional to 120,237 and 187,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,237 : 187,633.50 = 187,633.50 : x
2. Step 2: Convert to fraction form
   120,237/187,633.50 = 187,633.50/x
3. Step 3: Cross multiply
   120,237x = 187,633.50 × 187,633.50
4. Step 4: Simplify right side
   120,237x = 35,206,330,322.25
5. Step 5: Solve for x
   x = 35,206,330,322.25/120,237
6. Step 6: Final answer
   x = 292,807.79