Finding the Third Proportional to 72,777.50 and 115,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,777.50 : 115,727.50 = 115,727.50 : x
2. Step 2: Convert to fraction form
   72,777.50/115,727.50 = 115,727.50/x
3. Step 3: Cross multiply
   72,777.50x = 115,727.50 × 115,727.50
4. Step 4: Simplify right side
   72,777.50x = 13,392,854,256.25
5. Step 5: Solve for x
   x = 13,392,854,256.25/72,777.50
6. Step 6: Final answer
   x = 184,024.65