Finding the Third Proportional to 276,585 and 427,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,585 : 427,159.50 = 427,159.50 : x
2. Step 2: Convert to fraction form
   276,585/427,159.50 = 427,159.50/x
3. Step 3: Cross multiply
   276,585x = 427,159.50 × 427,159.50
4. Step 4: Simplify right side
   276,585x = 182,465,238,440.25
5. Step 5: Solve for x
   x = 182,465,238,440.25/276,585
6. Step 6: Final answer
   x = 659,707.64