Finding the Third Proportional to 121,176 and 186,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,176 : 186,004.50 = 186,004.50 : x
2. Step 2: Convert to fraction form
   121,176/186,004.50 = 186,004.50/x
3. Step 3: Cross multiply
   121,176x = 186,004.50 × 186,004.50
4. Step 4: Simplify right side
   121,176x = 34,597,674,020.25
5. Step 5: Solve for x
   x = 34,597,674,020.25/121,176
6. Step 6: Final answer
   x = 285,515.89