Finding the Third Proportional to 353,175 and 765,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   353,175 : 765,025.50 = 765,025.50 : x
2. Step 2: Convert to fraction form
   353,175/765,025.50 = 765,025.50/x
3. Step 3: Cross multiply
   353,175x = 765,025.50 × 765,025.50
4. Step 4: Simplify right side
   353,175x = 585,264,015,650.25
5. Step 5: Solve for x
   x = 585,264,015,650.25/353,175
6. Step 6: Final answer
   x = 1,657,150.18