Finding the Third Proportional to 82,185.89 and 105,017.77

Step by Step Solution

1. Step 1: Write the proportion equation
   82,185.89 : 105,017.77 = 105,017.77 : x
2. Step 2: Convert to fraction form
   82,185.89/105,017.77 = 105,017.77/x
3. Step 3: Cross multiply
   82,185.89x = 105,017.77 × 105,017.77
4. Step 4: Simplify right side
   82,185.89x = 11,028,731,096.87
5. Step 5: Solve for x
   x = 11,028,731,096.87/82,185.89
6. Step 6: Final answer
   x = 134,192.51