Finding the Third Proportional to 82,480 and 183,914

Step by Step Solution

1. Step 1: Write the proportion equation
   82,480 : 183,914 = 183,914 : x
2. Step 2: Convert to fraction form
   82,480/183,914 = 183,914/x
3. Step 3: Cross multiply
   82,480x = 183,914 × 183,914
4. Step 4: Simplify right side
   82,480x = 33,824,359,396
5. Step 5: Solve for x
   x = 33,824,359,396/82,480
6. Step 6: Final answer
   x = 410,091.65