Finding the Third Proportional to 46,432 and 83,648

Step by Step Solution

1. Step 1: Write the proportion equation
   46,432 : 83,648 = 83,648 : x
2. Step 2: Convert to fraction form
   46,432/83,648 = 83,648/x
3. Step 3: Cross multiply
   46,432x = 83,648 × 83,648
4. Step 4: Simplify right side
   46,432x = 6,996,987,904
5. Step 5: Solve for x
   x = 6,996,987,904/46,432
6. Step 6: Final answer
   x = 150,693.23