Finding the Third Proportional to 219,496.50 and 338,364

Step by Step Solution

1. Step 1: Write the proportion equation
   219,496.50 : 338,364 = 338,364 : x
2. Step 2: Convert to fraction form
   219,496.50/338,364 = 338,364/x
3. Step 3: Cross multiply
   219,496.50x = 338,364 × 338,364
4. Step 4: Simplify right side
   219,496.50x = 114,490,196,496
5. Step 5: Solve for x
   x = 114,490,196,496/219,496.50
6. Step 6: Final answer
   x = 521,603.75