Finding the Third Proportional to 42,306 and 90,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,306 : 90,442.50 = 90,442.50 : x
2. Step 2: Convert to fraction form
   42,306/90,442.50 = 90,442.50/x
3. Step 3: Cross multiply
   42,306x = 90,442.50 × 90,442.50
4. Step 4: Simplify right side
   42,306x = 8,179,845,806.25
5. Step 5: Solve for x
   x = 8,179,845,806.25/42,306
6. Step 6: Final answer
   x = 193,349.54