Finding the Third Proportional to 383,187 and 512,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   383,187 : 512,536.50 = 512,536.50 : x
2. Step 2: Convert to fraction form
   383,187/512,536.50 = 512,536.50/x
3. Step 3: Cross multiply
   383,187x = 512,536.50 × 512,536.50
4. Step 4: Simplify right side
   383,187x = 262,693,663,832.25
5. Step 5: Solve for x
   x = 262,693,663,832.25/383,187
6. Step 6: Final answer
   x = 685,549.52