Finding the Third Proportional to 47,178 and 68,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,178 : 68,821.50 = 68,821.50 : x
2. Step 2: Convert to fraction form
   47,178/68,821.50 = 68,821.50/x
3. Step 3: Cross multiply
   47,178x = 68,821.50 × 68,821.50
4. Step 4: Simplify right side
   47,178x = 4,736,398,862.25
5. Step 5: Solve for x
   x = 4,736,398,862.25/47,178
6. Step 6: Final answer
   x = 100,394.23