Finding the Third Proportional to 78,734 and 106,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,734 : 106,072.50 = 106,072.50 : x
2. Step 2: Convert to fraction form
   78,734/106,072.50 = 106,072.50/x
3. Step 3: Cross multiply
   78,734x = 106,072.50 × 106,072.50
4. Step 4: Simplify right side
   78,734x = 11,251,375,256.25
5. Step 5: Solve for x
   x = 11,251,375,256.25/78,734
6. Step 6: Final answer
   x = 142,903.64