Finding the Third Proportional to 121,566 and 189,729.75

Step by Step Solution

1. Step 1: Write the proportion equation
   121,566 : 189,729.75 = 189,729.75 : x
2. Step 2: Convert to fraction form
   121,566/189,729.75 = 189,729.75/x
3. Step 3: Cross multiply
   121,566x = 189,729.75 × 189,729.75
4. Step 4: Simplify right side
   121,566x = 35,997,378,035.06
5. Step 5: Solve for x
   x = 35,997,378,035.06/121,566
6. Step 6: Final answer
   x = 296,113.86