Finding the Third Proportional to 369,536 and 595,140

Step by Step Solution

1. Step 1: Write the proportion equation
   369,536 : 595,140 = 595,140 : x
2. Step 2: Convert to fraction form
   369,536/595,140 = 595,140/x
3. Step 3: Cross multiply
   369,536x = 595,140 × 595,140
4. Step 4: Simplify right side
   369,536x = 354,191,619,600
5. Step 5: Solve for x
   x = 354,191,619,600/369,536
6. Step 6: Final answer
   x = 958,476.63