Finding the Third Proportional to 47,784 and 101,328

Step by Step Solution

1. Step 1: Write the proportion equation
   47,784 : 101,328 = 101,328 : x
2. Step 2: Convert to fraction form
   47,784/101,328 = 101,328/x
3. Step 3: Cross multiply
   47,784x = 101,328 × 101,328
4. Step 4: Simplify right side
   47,784x = 10,267,363,584
5. Step 5: Solve for x
   x = 10,267,363,584/47,784
6. Step 6: Final answer
   x = 214,870.32