Finding the Third Proportional to 77,925 and 111,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,925 : 111,424.50 = 111,424.50 : x
2. Step 2: Convert to fraction form
   77,925/111,424.50 = 111,424.50/x
3. Step 3: Cross multiply
   77,925x = 111,424.50 × 111,424.50
4. Step 4: Simplify right side
   77,925x = 12,415,419,200.25
5. Step 5: Solve for x
   x = 12,415,419,200.25/77,925
6. Step 6: Final answer
   x = 159,325.24