Finding the Third Proportional to 77,017.50 and 165,494.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,017.50 : 165,494.25 = 165,494.25 : x
2. Step 2: Convert to fraction form
   77,017.50/165,494.25 = 165,494.25/x
3. Step 3: Cross multiply
   77,017.50x = 165,494.25 × 165,494.25
4. Step 4: Simplify right side
   77,017.50x = 27,388,346,783.06
5. Step 5: Solve for x
   x = 27,388,346,783.06/77,017.50
6. Step 6: Final answer
   x = 355,611.99