Finding the Third Proportional to 314,784.50 and 687,195

Step by Step Solution

1. Step 1: Write the proportion equation
   314,784.50 : 687,195 = 687,195 : x
2. Step 2: Convert to fraction form
   314,784.50/687,195 = 687,195/x
3. Step 3: Cross multiply
   314,784.50x = 687,195 × 687,195
4. Step 4: Simplify right side
   314,784.50x = 472,236,968,025
5. Step 5: Solve for x
   x = 472,236,968,025/314,784.50
6. Step 6: Final answer
   x = 1,500,191.30