Finding the Third Proportional to 82,100.25 and 123,746.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82,100.25 : 123,746.06 = 123,746.06 : x
2. Step 2: Convert to fraction form
   82,100.25/123,746.06 = 123,746.06/x
3. Step 3: Cross multiply
   82,100.25x = 123,746.06 × 123,746.06
4. Step 4: Simplify right side
   82,100.25x = 15,313,087,984.25
5. Step 5: Solve for x
   x = 15,313,087,984.25/82,100.25
6. Step 6: Final answer
   x = 186,516.95