Finding the Third Proportional to 78,457 and 111,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,457 : 111,805.50 = 111,805.50 : x
2. Step 2: Convert to fraction form
   78,457/111,805.50 = 111,805.50/x
3. Step 3: Cross multiply
   78,457x = 111,805.50 × 111,805.50
4. Step 4: Simplify right side
   78,457x = 12,500,469,830.25
5. Step 5: Solve for x
   x = 12,500,469,830.25/78,457
6. Step 6: Final answer
   x = 159,328.93