Finding the Third Proportional to 76,991 and 164,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,991 : 164,622.50 = 164,622.50 : x
2. Step 2: Convert to fraction form
   76,991/164,622.50 = 164,622.50/x
3. Step 3: Cross multiply
   76,991x = 164,622.50 × 164,622.50
4. Step 4: Simplify right side
   76,991x = 27,100,567,506.25
5. Step 5: Solve for x
   x = 27,100,567,506.25/76,991
6. Step 6: Final answer
   x = 351,996.56