Finding the Third Proportional to 42,270.75 and 89,256.38

Step by Step Solution

1. Step 1: Write the proportion equation
   42,270.75 : 89,256.38 = 89,256.38 : x
2. Step 2: Convert to fraction form
   42,270.75/89,256.38 = 89,256.38/x
3. Step 3: Cross multiply
   42,270.75x = 89,256.38 × 89,256.38
4. Step 4: Simplify right side
   42,270.75x = 7,966,700,478.14
5. Step 5: Solve for x
   x = 7,966,700,478.14/42,270.75
6. Step 6: Final answer
   x = 188,468.40