Finding the Third Proportional to 83,354 and 182,518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,354 : 182,518.50 = 182,518.50 : x
2. Step 2: Convert to fraction form
   83,354/182,518.50 = 182,518.50/x
3. Step 3: Cross multiply
   83,354x = 182,518.50 × 182,518.50
4. Step 4: Simplify right side
   83,354x = 33,313,002,842.25
5. Step 5: Solve for x
   x = 33,313,002,842.25/83,354
6. Step 6: Final answer
   x = 399,656.92