Finding the Third Proportional to 256,549.50 and 402,444

Step by Step Solution

1. Step 1: Write the proportion equation
   256,549.50 : 402,444 = 402,444 : x
2. Step 2: Convert to fraction form
   256,549.50/402,444 = 402,444/x
3. Step 3: Cross multiply
   256,549.50x = 402,444 × 402,444
4. Step 4: Simplify right side
   256,549.50x = 161,961,173,136
5. Step 5: Solve for x
   x = 161,961,173,136/256,549.50
6. Step 6: Final answer
   x = 631,305.74