Finding the Third Proportional to 42,306 and 100,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,306 : 100,225.50 = 100,225.50 : x
2. Step 2: Convert to fraction form
   42,306/100,225.50 = 100,225.50/x
3. Step 3: Cross multiply
   42,306x = 100,225.50 × 100,225.50
4. Step 4: Simplify right side
   42,306x = 10,045,150,850.25
5. Step 5: Solve for x
   x = 10,045,150,850.25/42,306
6. Step 6: Final answer
   x = 237,440.34