Finding the Third Proportional to 264,498.50 and 402,283.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,498.50 : 402,283.50 = 402,283.50 : x
2. Step 2: Convert to fraction form
   264,498.50/402,283.50 = 402,283.50/x
3. Step 3: Cross multiply
   264,498.50x = 402,283.50 × 402,283.50
4. Step 4: Simplify right side
   264,498.50x = 161,832,014,372.25
5. Step 5: Solve for x
   x = 161,832,014,372.25/264,498.50
6. Step 6: Final answer
   x = 611,844.73