Finding the Third Proportional to 221,406 and 465,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,406 : 465,118.50 = 465,118.50 : x
2. Step 2: Convert to fraction form
   221,406/465,118.50 = 465,118.50/x
3. Step 3: Cross multiply
   221,406x = 465,118.50 × 465,118.50
4. Step 4: Simplify right side
   221,406x = 216,335,219,042.25
5. Step 5: Solve for x
   x = 216,335,219,042.25/221,406
6. Step 6: Final answer
   x = 977,097.36