Finding the Third Proportional to 36,222 and 76,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,222 : 76,804.50 = 76,804.50 : x
2. Step 2: Convert to fraction form
   36,222/76,804.50 = 76,804.50/x
3. Step 3: Cross multiply
   36,222x = 76,804.50 × 76,804.50
4. Step 4: Simplify right side
   36,222x = 5,898,931,220.25
5. Step 5: Solve for x
   x = 5,898,931,220.25/36,222
6. Step 6: Final answer
   x = 162,854.93