Finding the Third Proportional to 78,469 and 111,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,469 : 111,823.50 = 111,823.50 : x
2. Step 2: Convert to fraction form
   78,469/111,823.50 = 111,823.50/x
3. Step 3: Cross multiply
   78,469x = 111,823.50 × 111,823.50
4. Step 4: Simplify right side
   78,469x = 12,504,495,152.25
5. Step 5: Solve for x
   x = 12,504,495,152.25/78,469
6. Step 6: Final answer
   x = 159,355.86