Finding the Third Proportional to 101,749 and 221,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,749 : 221,007.50 = 221,007.50 : x
2. Step 2: Convert to fraction form
   101,749/221,007.50 = 221,007.50/x
3. Step 3: Cross multiply
   101,749x = 221,007.50 × 221,007.50
4. Step 4: Simplify right side
   101,749x = 48,844,315,056.25
5. Step 5: Solve for x
   x = 48,844,315,056.25/101,749
6. Step 6: Final answer
   x = 480,047.13