Finding the Third Proportional to 76,333.50 and 165,798

Step by Step Solution

1. Step 1: Write the proportion equation
   76,333.50 : 165,798 = 165,798 : x
2. Step 2: Convert to fraction form
   76,333.50/165,798 = 165,798/x
3. Step 3: Cross multiply
   76,333.50x = 165,798 × 165,798
4. Step 4: Simplify right side
   76,333.50x = 27,488,976,804
5. Step 5: Solve for x
   x = 27,488,976,804/76,333.50
6. Step 6: Final answer
   x = 360,116.81