Finding the Third Proportional to 128,851.50 and 189,414

Step by Step Solution

1. Step 1: Write the proportion equation
   128,851.50 : 189,414 = 189,414 : x
2. Step 2: Convert to fraction form
   128,851.50/189,414 = 189,414/x
3. Step 3: Cross multiply
   128,851.50x = 189,414 × 189,414
4. Step 4: Simplify right side
   128,851.50x = 35,877,663,396
5. Step 5: Solve for x
   x = 35,877,663,396/128,851.50
6. Step 6: Final answer
   x = 278,441.95