Finding the Third Proportional to 264,503 and 402,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,503 : 402,291.50 = 402,291.50 : x
2. Step 2: Convert to fraction form
   264,503/402,291.50 = 402,291.50/x
3. Step 3: Cross multiply
   264,503x = 402,291.50 × 402,291.50
4. Step 4: Simplify right side
   264,503x = 161,838,450,972.25
5. Step 5: Solve for x
   x = 161,838,450,972.25/264,503
6. Step 6: Final answer
   x = 611,858.66