Finding the Third Proportional to 77,811 and 113,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,811 : 113,956.50 = 113,956.50 : x
2. Step 2: Convert to fraction form
   77,811/113,956.50 = 113,956.50/x
3. Step 3: Cross multiply
   77,811x = 113,956.50 × 113,956.50
4. Step 4: Simplify right side
   77,811x = 12,986,083,892.25
5. Step 5: Solve for x
   x = 12,986,083,892.25/77,811
6. Step 6: Final answer
   x = 166,892.65