Finding the Third Proportional to 59,784 and 83,784

Step by Step Solution

1. Step 1: Write the proportion equation
   59,784 : 83,784 = 83,784 : x
2. Step 2: Convert to fraction form
   59,784/83,784 = 83,784/x
3. Step 3: Cross multiply
   59,784x = 83,784 × 83,784
4. Step 4: Simplify right side
   59,784x = 7,019,758,656
5. Step 5: Solve for x
   x = 7,019,758,656/59,784
6. Step 6: Final answer
   x = 117,418.68