Finding the Third Proportional to 91,548 and 141,678

Step by Step Solution

1. Step 1: Write the proportion equation
   91,548 : 141,678 = 141,678 : x
2. Step 2: Convert to fraction form
   91,548/141,678 = 141,678/x
3. Step 3: Cross multiply
   91,548x = 141,678 × 141,678
4. Step 4: Simplify right side
   91,548x = 20,072,655,684
5. Step 5: Solve for x
   x = 20,072,655,684/91,548
6. Step 6: Final answer
   x = 219,258.27