Finding the Third Proportional to 257,970 and 371,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,970 : 371,572.50 = 371,572.50 : x
2. Step 2: Convert to fraction form
   257,970/371,572.50 = 371,572.50/x
3. Step 3: Cross multiply
   257,970x = 371,572.50 × 371,572.50
4. Step 4: Simplify right side
   257,970x = 138,066,122,756.25
5. Step 5: Solve for x
   x = 138,066,122,756.25/257,970
6. Step 6: Final answer
   x = 535,202.24