Finding the Third Proportional to 76,333 and 162,810.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,333 : 162,810.50 = 162,810.50 : x
2. Step 2: Convert to fraction form
   76,333/162,810.50 = 162,810.50/x
3. Step 3: Cross multiply
   76,333x = 162,810.50 × 162,810.50
4. Step 4: Simplify right side
   76,333x = 26,507,258,910.25
5. Step 5: Solve for x
   x = 26,507,258,910.25/76,333
6. Step 6: Final answer
   x = 347,258.18