Finding the Third Proportional to 257,978.25 and 371,583

Step by Step Solution

1. Step 1: Write the proportion equation
   257,978.25 : 371,583 = 371,583 : x
2. Step 2: Convert to fraction form
   257,978.25/371,583 = 371,583/x
3. Step 3: Cross multiply
   257,978.25x = 371,583 × 371,583
4. Step 4: Simplify right side
   257,978.25x = 138,073,925,889
5. Step 5: Solve for x
   x = 138,073,925,889/257,978.25
6. Step 6: Final answer
   x = 535,215.38