Finding the Third Proportional to 83,794.50 and 182,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,794.50 : 182,641.50 = 182,641.50 : x
2. Step 2: Convert to fraction form
   83,794.50/182,641.50 = 182,641.50/x
3. Step 3: Cross multiply
   83,794.50x = 182,641.50 × 182,641.50
4. Step 4: Simplify right side
   83,794.50x = 33,357,917,522.25
5. Step 5: Solve for x
   x = 33,357,917,522.25/83,794.50
6. Step 6: Final answer
   x = 398,091.97