Finding the Third Proportional to 82,523.25 and 124,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,523.25 : 124,573.50 = 124,573.50 : x
2. Step 2: Convert to fraction form
   82,523.25/124,573.50 = 124,573.50/x
3. Step 3: Cross multiply
   82,523.25x = 124,573.50 × 124,573.50
4. Step 4: Simplify right side
   82,523.25x = 15,518,556,902.25
5. Step 5: Solve for x
   x = 15,518,556,902.25/82,523.25
6. Step 6: Final answer
   x = 188,050.72