Finding the Third Proportional to 78,838.50 and 106,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,838.50 : 106,222.50 = 106,222.50 : x
2. Step 2: Convert to fraction form
   78,838.50/106,222.50 = 106,222.50/x
3. Step 3: Cross multiply
   78,838.50x = 106,222.50 × 106,222.50
4. Step 4: Simplify right side
   78,838.50x = 11,283,219,506.25
5. Step 5: Solve for x
   x = 11,283,219,506.25/78,838.50
6. Step 6: Final answer
   x = 143,118.14