Finding the Third Proportional to 83,870 and 183,292

Step by Step Solution

1. Step 1: Write the proportion equation
   83,870 : 183,292 = 183,292 : x
2. Step 2: Convert to fraction form
   83,870/183,292 = 183,292/x
3. Step 3: Cross multiply
   83,870x = 183,292 × 183,292
4. Step 4: Simplify right side
   83,870x = 33,595,957,264
5. Step 5: Solve for x
   x = 33,595,957,264/83,870
6. Step 6: Final answer
   x = 400,571.80