Finding the Third Proportional to 78,055.50 and 111,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,055.50 : 111,538.50 = 111,538.50 : x
2. Step 2: Convert to fraction form
   78,055.50/111,538.50 = 111,538.50/x
3. Step 3: Cross multiply
   78,055.50x = 111,538.50 × 111,538.50
4. Step 4: Simplify right side
   78,055.50x = 12,440,836,982.25
5. Step 5: Solve for x
   x = 12,440,836,982.25/78,055.50
6. Step 6: Final answer
   x = 159,384.50