Finding the Third Proportional to 101,251 and 221,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,251 : 221,567.50 = 221,567.50 : x
2. Step 2: Convert to fraction form
   101,251/221,567.50 = 221,567.50/x
3. Step 3: Cross multiply
   101,251x = 221,567.50 × 221,567.50
4. Step 4: Simplify right side
   101,251x = 49,092,157,056.25
5. Step 5: Solve for x
   x = 49,092,157,056.25/101,251
6. Step 6: Final answer
   x = 484,856.02