Finding the Third Proportional to 421,940.50 and 563,642

Step by Step Solution

1. Step 1: Write the proportion equation
   421,940.50 : 563,642 = 563,642 : x
2. Step 2: Convert to fraction form
   421,940.50/563,642 = 563,642/x
3. Step 3: Cross multiply
   421,940.50x = 563,642 × 563,642
4. Step 4: Simplify right side
   421,940.50x = 317,692,304,164
5. Step 5: Solve for x
   x = 317,692,304,164/421,940.50
6. Step 6: Final answer
   x = 752,931.53