Finding the Third Proportional to 42,948 and 92,253.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,948 : 92,253.50 = 92,253.50 : x
2. Step 2: Convert to fraction form
   42,948/92,253.50 = 92,253.50/x
3. Step 3: Cross multiply
   42,948x = 92,253.50 × 92,253.50
4. Step 4: Simplify right side
   42,948x = 8,510,708,262.25
5. Step 5: Solve for x
   x = 8,510,708,262.25/42,948
6. Step 6: Final answer
   x = 198,163.09