Finding the Third Proportional to 264,427.50 and 402,840

Step by Step Solution

1. Step 1: Write the proportion equation
   264,427.50 : 402,840 = 402,840 : x
2. Step 2: Convert to fraction form
   264,427.50/402,840 = 402,840/x
3. Step 3: Cross multiply
   264,427.50x = 402,840 × 402,840
4. Step 4: Simplify right side
   264,427.50x = 162,280,065,600
5. Step 5: Solve for x
   x = 162,280,065,600/264,427.50
6. Step 6: Final answer
   x = 613,703.44