Finding the Third Proportional to 78,464.50 and 174,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,464.50 : 174,364.50 = 174,364.50 : x
2. Step 2: Convert to fraction form
   78,464.50/174,364.50 = 174,364.50/x
3. Step 3: Cross multiply
   78,464.50x = 174,364.50 × 174,364.50
4. Step 4: Simplify right side
   78,464.50x = 30,402,978,860.25
5. Step 5: Solve for x
   x = 30,402,978,860.25/78,464.50
6. Step 6: Final answer
   x = 387,474.32