Finding the Third Proportional to 42,282 and 90,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,282 : 90,193.50 = 90,193.50 : x
2. Step 2: Convert to fraction form
   42,282/90,193.50 = 90,193.50/x
3. Step 3: Cross multiply
   42,282x = 90,193.50 × 90,193.50
4. Step 4: Simplify right side
   42,282x = 8,134,867,442.25
5. Step 5: Solve for x
   x = 8,134,867,442.25/42,282
6. Step 6: Final answer
   x = 192,395.52