Finding the Third Proportional to 102,346 and 221,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,346 : 221,337.50 = 221,337.50 : x
2. Step 2: Convert to fraction form
   102,346/221,337.50 = 221,337.50/x
3. Step 3: Cross multiply
   102,346x = 221,337.50 × 221,337.50
4. Step 4: Simplify right side
   102,346x = 48,990,288,906.25
5. Step 5: Solve for x
   x = 48,990,288,906.25/102,346
6. Step 6: Final answer
   x = 478,673.22