Finding the Third Proportional to 201,953 and 313,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,953 : 313,575.50 = 313,575.50 : x
2. Step 2: Convert to fraction form
   201,953/313,575.50 = 313,575.50/x
3. Step 3: Cross multiply
   201,953x = 313,575.50 × 313,575.50
4. Step 4: Simplify right side
   201,953x = 98,329,594,200.25
5. Step 5: Solve for x
   x = 98,329,594,200.25/201,953
6. Step 6: Final answer
   x = 486,893.46