Finding the Third Proportional to 282,237 and 402,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,237 : 402,335.50 = 402,335.50 : x
2. Step 2: Convert to fraction form
   282,237/402,335.50 = 402,335.50/x
3. Step 3: Cross multiply
   282,237x = 402,335.50 × 402,335.50
4. Step 4: Simplify right side
   282,237x = 161,873,854,560.25
5. Step 5: Solve for x
   x = 161,873,854,560.25/282,237
6. Step 6: Final answer
   x = 573,538.74