Finding the Third Proportional to 262,650 and 382,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,650 : 382,492.50 = 382,492.50 : x
2. Step 2: Convert to fraction form
   262,650/382,492.50 = 382,492.50/x
3. Step 3: Cross multiply
   262,650x = 382,492.50 × 382,492.50
4. Step 4: Simplify right side
   262,650x = 146,300,512,556.25
5. Step 5: Solve for x
   x = 146,300,512,556.25/262,650
6. Step 6: Final answer
   x = 557,016.99