Finding the Third Proportional to 76,705.50 and 164,796

Step by Step Solution

1. Step 1: Write the proportion equation
   76,705.50 : 164,796 = 164,796 : x
2. Step 2: Convert to fraction form
   76,705.50/164,796 = 164,796/x
3. Step 3: Cross multiply
   76,705.50x = 164,796 × 164,796
4. Step 4: Simplify right side
   76,705.50x = 27,157,721,616
5. Step 5: Solve for x
   x = 27,157,721,616/76,705.50
6. Step 6: Final answer
   x = 354,051.82