Finding the Third Proportional to 121,567.50 and 189,732

Step by Step Solution

1. Step 1: Write the proportion equation
   121,567.50 : 189,732 = 189,732 : x
2. Step 2: Convert to fraction form
   121,567.50/189,732 = 189,732/x
3. Step 3: Cross multiply
   121,567.50x = 189,732 × 189,732
4. Step 4: Simplify right side
   121,567.50x = 35,998,231,824
5. Step 5: Solve for x
   x = 35,998,231,824/121,567.50
6. Step 6: Final answer
   x = 296,117.23