Finding the Third Proportional to 78,547.50 and 111,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,547.50 : 111,055.50 = 111,055.50 : x
2. Step 2: Convert to fraction form
   78,547.50/111,055.50 = 111,055.50/x
3. Step 3: Cross multiply
   78,547.50x = 111,055.50 × 111,055.50
4. Step 4: Simplify right side
   78,547.50x = 12,333,324,080.25
5. Step 5: Solve for x
   x = 12,333,324,080.25/78,547.50
6. Step 6: Final answer
   x = 157,017.40