Finding the Third Proportional to 82,678.50 and 131,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,678.50 : 131,089.50 = 131,089.50 : x
2. Step 2: Convert to fraction form
   82,678.50/131,089.50 = 131,089.50/x
3. Step 3: Cross multiply
   82,678.50x = 131,089.50 × 131,089.50
4. Step 4: Simplify right side
   82,678.50x = 17,184,457,010.25
5. Step 5: Solve for x
   x = 17,184,457,010.25/82,678.50
6. Step 6: Final answer
   x = 207,846.74