Finding the Third Proportional to 121,349 and 189,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,349 : 189,945.50 = 189,945.50 : x
2. Step 2: Convert to fraction form
   121,349/189,945.50 = 189,945.50/x
3. Step 3: Cross multiply
   121,349x = 189,945.50 × 189,945.50
4. Step 4: Simplify right side
   121,349x = 36,079,292,970.25
5. Step 5: Solve for x
   x = 36,079,292,970.25/121,349
6. Step 6: Final answer
   x = 297,318.42