Finding the Third Proportional to 83,680.50 and 183,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,680.50 : 183,946.50 = 183,946.50 : x
2. Step 2: Convert to fraction form
   83,680.50/183,946.50 = 183,946.50/x
3. Step 3: Cross multiply
   83,680.50x = 183,946.50 × 183,946.50
4. Step 4: Simplify right side
   83,680.50x = 33,836,314,862.25
5. Step 5: Solve for x
   x = 33,836,314,862.25/83,680.50
6. Step 6: Final answer
   x = 404,351.25