Finding the Third Proportional to 257,352 and 371,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,352 : 371,264.50 = 371,264.50 : x
2. Step 2: Convert to fraction form
   257,352/371,264.50 = 371,264.50/x
3. Step 3: Cross multiply
   257,352x = 371,264.50 × 371,264.50
4. Step 4: Simplify right side
   257,352x = 137,837,328,960.25
5. Step 5: Solve for x
   x = 137,837,328,960.25/257,352
6. Step 6: Final answer
   x = 535,598.44