Finding the Third Proportional to 100,968 and 158,402.25

Step by Step Solution

1. Step 1: Write the proportion equation
   100,968 : 158,402.25 = 158,402.25 : x
2. Step 2: Convert to fraction form
   100,968/158,402.25 = 158,402.25/x
3. Step 3: Cross multiply
   100,968x = 158,402.25 × 158,402.25
4. Step 4: Simplify right side
   100,968x = 25,091,272,805.06
5. Step 5: Solve for x
   x = 25,091,272,805.06/100,968
6. Step 6: Final answer
   x = 248,507.18