Finding the Third Proportional to 76,208.50 and 102,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,208.50 : 102,801.50 = 102,801.50 : x
2. Step 2: Convert to fraction form
   76,208.50/102,801.50 = 102,801.50/x
3. Step 3: Cross multiply
   76,208.50x = 102,801.50 × 102,801.50
4. Step 4: Simplify right side
   76,208.50x = 10,568,148,402.25
5. Step 5: Solve for x
   x = 10,568,148,402.25/76,208.50
6. Step 6: Final answer
   x = 138,674.14