Finding the Third Proportional to 78,485.50 and 114,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,485.50 : 114,081.50 = 114,081.50 : x
2. Step 2: Convert to fraction form
   78,485.50/114,081.50 = 114,081.50/x
3. Step 3: Cross multiply
   78,485.50x = 114,081.50 × 114,081.50
4. Step 4: Simplify right side
   78,485.50x = 13,014,588,642.25
5. Step 5: Solve for x
   x = 13,014,588,642.25/78,485.50
6. Step 6: Final answer
   x = 165,821.57