Finding the Third Proportional to 202,075.63 and 280,970

Step by Step Solution

1. Step 1: Write the proportion equation
   202,075.63 : 280,970 = 280,970 : x
2. Step 2: Convert to fraction form
   202,075.63/280,970 = 280,970/x
3. Step 3: Cross multiply
   202,075.63x = 280,970 × 280,970
4. Step 4: Simplify right side
   202,075.63x = 78,944,140,900
5. Step 5: Solve for x
   x = 78,944,140,900/202,075.63
6. Step 6: Final answer
   x = 390,666.32