Finding the Third Proportional to 257,978.50 and 371,586

Step by Step Solution

1. Step 1: Write the proportion equation
   257,978.50 : 371,586 = 371,586 : x
2. Step 2: Convert to fraction form
   257,978.50/371,586 = 371,586/x
3. Step 3: Cross multiply
   257,978.50x = 371,586 × 371,586
4. Step 4: Simplify right side
   257,978.50x = 138,076,155,396
5. Step 5: Solve for x
   x = 138,076,155,396/257,978.50
6. Step 6: Final answer
   x = 535,223.50