Finding the Third Proportional to 83,433 and 177,940.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,433 : 177,940.50 = 177,940.50 : x
2. Step 2: Convert to fraction form
   83,433/177,940.50 = 177,940.50/x
3. Step 3: Cross multiply
   83,433x = 177,940.50 × 177,940.50
4. Step 4: Simplify right side
   83,433x = 31,662,821,540.25
5. Step 5: Solve for x
   x = 31,662,821,540.25/83,433
6. Step 6: Final answer
   x = 379,499.98