Finding the Third Proportional to 98,848 and 152,886

Step by Step Solution

1. Step 1: Write the proportion equation
   98,848 : 152,886 = 152,886 : x
2. Step 2: Convert to fraction form
   98,848/152,886 = 152,886/x
3. Step 3: Cross multiply
   98,848x = 152,886 × 152,886
4. Step 4: Simplify right side
   98,848x = 23,374,128,996
5. Step 5: Solve for x
   x = 23,374,128,996/98,848
6. Step 6: Final answer
   x = 236,465.37