Finding the Third Proportional to 76,504.50 and 164,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,504.50 : 164,632.50 = 164,632.50 : x
2. Step 2: Convert to fraction form
   76,504.50/164,632.50 = 164,632.50/x
3. Step 3: Cross multiply
   76,504.50x = 164,632.50 × 164,632.50
4. Step 4: Simplify right side
   76,504.50x = 27,103,860,056.25
5. Step 5: Solve for x
   x = 27,103,860,056.25/76,504.50
6. Step 6: Final answer
   x = 354,277.98