Finding the Third Proportional to 121,104 and 188,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,104 : 188,164.50 = 188,164.50 : x
2. Step 2: Convert to fraction form
   121,104/188,164.50 = 188,164.50/x
3. Step 3: Cross multiply
   121,104x = 188,164.50 × 188,164.50
4. Step 4: Simplify right side
   121,104x = 35,405,879,060.25
5. Step 5: Solve for x
   x = 35,405,879,060.25/121,104
6. Step 6: Final answer
   x = 292,359.29