Finding the Third Proportional to 83,677 and 183,940

Step by Step Solution

1. Step 1: Write the proportion equation
   83,677 : 183,940 = 183,940 : x
2. Step 2: Convert to fraction form
   83,677/183,940 = 183,940/x
3. Step 3: Cross multiply
   83,677x = 183,940 × 183,940
4. Step 4: Simplify right side
   83,677x = 33,833,923,600
5. Step 5: Solve for x
   x = 33,833,923,600/83,677
6. Step 6: Final answer
   x = 404,339.59