Finding the Third Proportional to 275,257 and 402,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,257 : 402,265.50 = 402,265.50 : x
2. Step 2: Convert to fraction form
   275,257/402,265.50 = 402,265.50/x
3. Step 3: Cross multiply
   275,257x = 402,265.50 × 402,265.50
4. Step 4: Simplify right side
   275,257x = 161,817,532,490.25
5. Step 5: Solve for x
   x = 161,817,532,490.25/275,257
6. Step 6: Final answer
   x = 587,877.99