Finding the Third Proportional to 201,643.50 and 309,514.88

Step by Step Solution

1. Step 1: Write the proportion equation
   201,643.50 : 309,514.88 = 309,514.88 : x
2. Step 2: Convert to fraction form
   201,643.50/309,514.88 = 309,514.88/x
3. Step 3: Cross multiply
   201,643.50x = 309,514.88 × 309,514.88
4. Step 4: Simplify right side
   201,643.50x = 95,799,457,846.27
5. Step 5: Solve for x
   x = 95,799,457,846.27/201,643.50
6. Step 6: Final answer
   x = 475,093.21