Finding the Third Proportional to 219,217.50 and 455,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219,217.50 : 455,665.50 = 455,665.50 : x
2. Step 2: Convert to fraction form
   219,217.50/455,665.50 = 455,665.50/x
3. Step 3: Cross multiply
   219,217.50x = 455,665.50 × 455,665.50
4. Step 4: Simplify right side
   219,217.50x = 207,631,047,890.25
5. Step 5: Solve for x
   x = 207,631,047,890.25/219,217.50
6. Step 6: Final answer
   x = 947,146.32