Finding the Third Proportional to 221,682 and 459,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,682 : 459,127.50 = 459,127.50 : x
2. Step 2: Convert to fraction form
   221,682/459,127.50 = 459,127.50/x
3. Step 3: Cross multiply
   221,682x = 459,127.50 × 459,127.50
4. Step 4: Simplify right side
   221,682x = 210,798,061,256.25
5. Step 5: Solve for x
   x = 210,798,061,256.25/221,682
6. Step 6: Final answer
   x = 950,902.92