Finding the Third Proportional to 260,677.50 and 402,984

Step by Step Solution

1. Step 1: Write the proportion equation
   260,677.50 : 402,984 = 402,984 : x
2. Step 2: Convert to fraction form
   260,677.50/402,984 = 402,984/x
3. Step 3: Cross multiply
   260,677.50x = 402,984 × 402,984
4. Step 4: Simplify right side
   260,677.50x = 162,396,104,256
5. Step 5: Solve for x
   x = 162,396,104,256/260,677.50
6. Step 6: Final answer
   x = 622,977.07