Finding the Third Proportional to 93,916 and 221,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,916 : 221,477.50 = 221,477.50 : x
2. Step 2: Convert to fraction form
   93,916/221,477.50 = 221,477.50/x
3. Step 3: Cross multiply
   93,916x = 221,477.50 × 221,477.50
4. Step 4: Simplify right side
   93,916x = 49,052,283,006.25
5. Step 5: Solve for x
   x = 49,052,283,006.25/93,916
6. Step 6: Final answer
   x = 522,299.53