Finding the Third Proportional to 72,677.25 and 150,842.25

Step by Step Solution

1. Step 1: Write the proportion equation
   72,677.25 : 150,842.25 = 150,842.25 : x
2. Step 2: Convert to fraction form
   72,677.25/150,842.25 = 150,842.25/x
3. Step 3: Cross multiply
   72,677.25x = 150,842.25 × 150,842.25
4. Step 4: Simplify right side
   72,677.25x = 22,753,384,385.06
5. Step 5: Solve for x
   x = 22,753,384,385.06/72,677.25
6. Step 6: Final answer
   x = 313,074.37