Finding the Third Proportional to 80,859.50 and 115,784

Step by Step Solution

1. Step 1: Write the proportion equation
   80,859.50 : 115,784 = 115,784 : x
2. Step 2: Convert to fraction form
   80,859.50/115,784 = 115,784/x
3. Step 3: Cross multiply
   80,859.50x = 115,784 × 115,784
4. Step 4: Simplify right side
   80,859.50x = 13,405,934,656
5. Step 5: Solve for x
   x = 13,405,934,656/80,859.50
6. Step 6: Final answer
   x = 165,792.95