Finding the Third Proportional to 253,537 and 379,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,537 : 379,513.50 = 379,513.50 : x
2. Step 2: Convert to fraction form
   253,537/379,513.50 = 379,513.50/x
3. Step 3: Cross multiply
   253,537x = 379,513.50 × 379,513.50
4. Step 4: Simplify right side
   253,537x = 144,030,496,682.25
5. Step 5: Solve for x
   x = 144,030,496,682.25/253,537
6. Step 6: Final answer
   x = 568,084.72