Finding the Third Proportional to 72,777 and 115,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,777 : 115,726.50 = 115,726.50 : x
2. Step 2: Convert to fraction form
   72,777/115,726.50 = 115,726.50/x
3. Step 3: Cross multiply
   72,777x = 115,726.50 × 115,726.50
4. Step 4: Simplify right side
   72,777x = 13,392,622,802.25
5. Step 5: Solve for x
   x = 13,392,622,802.25/72,777
6. Step 6: Final answer
   x = 184,022.74