Finding the Third Proportional to 152,660 and 342,850

Step by Step Solution

1. Step 1: Write the proportion equation
   152,660 : 342,850 = 342,850 : x
2. Step 2: Convert to fraction form
   152,660/342,850 = 342,850/x
3. Step 3: Cross multiply
   152,660x = 342,850 × 342,850
4. Step 4: Simplify right side
   152,660x = 117,546,122,500
5. Step 5: Solve for x
   x = 117,546,122,500/152,660
6. Step 6: Final answer
   x = 769,986.39