Finding the Third Proportional to 42,228 and 78,226.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,228 : 78,226.50 = 78,226.50 : x
2. Step 2: Convert to fraction form
   42,228/78,226.50 = 78,226.50/x
3. Step 3: Cross multiply
   42,228x = 78,226.50 × 78,226.50
4. Step 4: Simplify right side
   42,228x = 6,119,385,302.25
5. Step 5: Solve for x
   x = 6,119,385,302.25/42,228
6. Step 6: Final answer
   x = 144,912.98