Finding the Third Proportional to 83,142.28 and 188,478.56

Step by Step Solution

1. Step 1: Write the proportion equation
   83,142.28 : 188,478.56 = 188,478.56 : x
2. Step 2: Convert to fraction form
   83,142.28/188,478.56 = 188,478.56/x
3. Step 3: Cross multiply
   83,142.28x = 188,478.56 × 188,478.56
4. Step 4: Simplify right side
   83,142.28x = 35,524,168,522.07
5. Step 5: Solve for x
   x = 35,524,168,522.07/83,142.28
6. Step 6: Final answer
   x = 427,269.59