Finding the Third Proportional to 40,420 and 88,784

Step by Step Solution

1. Step 1: Write the proportion equation
   40,420 : 88,784 = 88,784 : x
2. Step 2: Convert to fraction form
   40,420/88,784 = 88,784/x
3. Step 3: Cross multiply
   40,420x = 88,784 × 88,784
4. Step 4: Simplify right side
   40,420x = 7,882,598,656
5. Step 5: Solve for x
   x = 7,882,598,656/40,420
6. Step 6: Final answer
   x = 195,017.28