Finding the Third Proportional to 82,066.50 and 107,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,066.50 : 107,770.50 = 107,770.50 : x
2. Step 2: Convert to fraction form
   82,066.50/107,770.50 = 107,770.50/x
3. Step 3: Cross multiply
   82,066.50x = 107,770.50 × 107,770.50
4. Step 4: Simplify right side
   82,066.50x = 11,614,480,670.25
5. Step 5: Solve for x
   x = 11,614,480,670.25/82,066.50
6. Step 6: Final answer
   x = 141,525.23