Finding the Third Proportional to 353,258 and 765,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   353,258 : 765,159.50 = 765,159.50 : x
2. Step 2: Convert to fraction form
   353,258/765,159.50 = 765,159.50/x
3. Step 3: Cross multiply
   353,258x = 765,159.50 × 765,159.50
4. Step 4: Simplify right side
   353,258x = 585,469,060,440.25
5. Step 5: Solve for x
   x = 585,469,060,440.25/353,258
6. Step 6: Final answer
   x = 1,657,341.26