Finding the Third Proportional to 82,210 and 123,326

Step by Step Solution

1. Step 1: Write the proportion equation
   82,210 : 123,326 = 123,326 : x
2. Step 2: Convert to fraction form
   82,210/123,326 = 123,326/x
3. Step 3: Cross multiply
   82,210x = 123,326 × 123,326
4. Step 4: Simplify right side
   82,210x = 15,209,302,276
5. Step 5: Solve for x
   x = 15,209,302,276/82,210
6. Step 6: Final answer
   x = 185,005.50