Finding the Third Proportional to 253,641 and 379,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,641 : 379,768.50 = 379,768.50 : x
2. Step 2: Convert to fraction form
   253,641/379,768.50 = 379,768.50/x
3. Step 3: Cross multiply
   253,641x = 379,768.50 × 379,768.50
4. Step 4: Simplify right side
   253,641x = 144,224,113,592.25
5. Step 5: Solve for x
   x = 144,224,113,592.25/253,641
6. Step 6: Final answer
   x = 568,615.14