Finding the Third Proportional to 98,162 and 152,859

Step by Step Solution

1. Step 1: Write the proportion equation
   98,162 : 152,859 = 152,859 : x
2. Step 2: Convert to fraction form
   98,162/152,859 = 152,859/x
3. Step 3: Cross multiply
   98,162x = 152,859 × 152,859
4. Step 4: Simplify right side
   98,162x = 23,365,873,881
5. Step 5: Solve for x
   x = 23,365,873,881/98,162
6. Step 6: Final answer
   x = 238,033.80