Finding the Third Proportional to 83,306 and 187,522

Step by Step Solution

1. Step 1: Write the proportion equation
   83,306 : 187,522 = 187,522 : x
2. Step 2: Convert to fraction form
   83,306/187,522 = 187,522/x
3. Step 3: Cross multiply
   83,306x = 187,522 × 187,522
4. Step 4: Simplify right side
   83,306x = 35,164,500,484
5. Step 5: Solve for x
   x = 35,164,500,484/83,306
6. Step 6: Final answer
   x = 422,112.46