Finding the Third Proportional to 78,969.94 and 186,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,969.94 : 186,421.50 = 186,421.50 : x
2. Step 2: Convert to fraction form
   78,969.94/186,421.50 = 186,421.50/x
3. Step 3: Cross multiply
   78,969.94x = 186,421.50 × 186,421.50
4. Step 4: Simplify right side
   78,969.94x = 34,752,975,662.25
5. Step 5: Solve for x
   x = 34,752,975,662.25/78,969.94
6. Step 6: Final answer
   x = 440,078.55