Finding the Third Proportional to 42,254 and 91,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,254 : 91,806.50 = 91,806.50 : x
2. Step 2: Convert to fraction form
   42,254/91,806.50 = 91,806.50/x
3. Step 3: Cross multiply
   42,254x = 91,806.50 × 91,806.50
4. Step 4: Simplify right side
   42,254x = 8,428,433,442.25
5. Step 5: Solve for x
   x = 8,428,433,442.25/42,254
6. Step 6: Final answer
   x = 199,470.66