Finding the Third Proportional to 82,256.25 and 123,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,256.25 : 123,991.50 = 123,991.50 : x
2. Step 2: Convert to fraction form
   82,256.25/123,991.50 = 123,991.50/x
3. Step 3: Cross multiply
   82,256.25x = 123,991.50 × 123,991.50
4. Step 4: Simplify right side
   82,256.25x = 15,373,892,072.25
5. Step 5: Solve for x
   x = 15,373,892,072.25/82,256.25
6. Step 6: Final answer
   x = 186,902.42