Finding the Third Proportional to 76,666.50 and 164,997

Step by Step Solution

1. Step 1: Write the proportion equation
   76,666.50 : 164,997 = 164,997 : x
2. Step 2: Convert to fraction form
   76,666.50/164,997 = 164,997/x
3. Step 3: Cross multiply
   76,666.50x = 164,997 × 164,997
4. Step 4: Simplify right side
   76,666.50x = 27,224,010,009
5. Step 5: Solve for x
   x = 27,224,010,009/76,666.50
6. Step 6: Final answer
   x = 355,096.55