Finding the Third Proportional to 83,159.25 and 178,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,159.25 : 178,771.50 = 178,771.50 : x
2. Step 2: Convert to fraction form
   83,159.25/178,771.50 = 178,771.50/x
3. Step 3: Cross multiply
   83,159.25x = 178,771.50 × 178,771.50
4. Step 4: Simplify right side
   83,159.25x = 31,959,249,212.25
5. Step 5: Solve for x
   x = 31,959,249,212.25/83,159.25
6. Step 6: Final answer
   x = 384,313.82