Finding the Third Proportional to 47,598 and 101,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,598 : 101,758.50 = 101,758.50 : x
2. Step 2: Convert to fraction form
   47,598/101,758.50 = 101,758.50/x
3. Step 3: Cross multiply
   47,598x = 101,758.50 × 101,758.50
4. Step 4: Simplify right side
   47,598x = 10,354,792,322.25
5. Step 5: Solve for x
   x = 10,354,792,322.25/47,598
6. Step 6: Final answer
   x = 217,546.79