Finding the Third Proportional to 82,145.50 and 123,582.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,145.50 : 123,582.75 = 123,582.75 : x
2. Step 2: Convert to fraction form
   82,145.50/123,582.75 = 123,582.75/x
3. Step 3: Cross multiply
   82,145.50x = 123,582.75 × 123,582.75
4. Step 4: Simplify right side
   82,145.50x = 15,272,696,097.56
5. Step 5: Solve for x
   x = 15,272,696,097.56/82,145.50
6. Step 6: Final answer
   x = 185,922.49