Finding the Third Proportional to 126,337.50 and 189,312

Step by Step Solution

1. Step 1: Write the proportion equation
   126,337.50 : 189,312 = 189,312 : x
2. Step 2: Convert to fraction form
   126,337.50/189,312 = 189,312/x
3. Step 3: Cross multiply
   126,337.50x = 189,312 × 189,312
4. Step 4: Simplify right side
   126,337.50x = 35,839,033,344
5. Step 5: Solve for x
   x = 35,839,033,344/126,337.50
6. Step 6: Final answer
   x = 283,676.92