Finding the Third Proportional to 47,527.50 and 102,074.25

Step by Step Solution

1. Step 1: Write the proportion equation
   47,527.50 : 102,074.25 = 102,074.25 : x
2. Step 2: Convert to fraction form
   47,527.50/102,074.25 = 102,074.25/x
3. Step 3: Cross multiply
   47,527.50x = 102,074.25 × 102,074.25
4. Step 4: Simplify right side
   47,527.50x = 10,419,152,513.06
5. Step 5: Solve for x
   x = 10,419,152,513.06/47,527.50
6. Step 6: Final answer
   x = 219,223.66