Finding the Third Proportional to 96,778 and 152,080

Step by Step Solution

1. Step 1: Write the proportion equation
   96,778 : 152,080 = 152,080 : x
2. Step 2: Convert to fraction form
   96,778/152,080 = 152,080/x
3. Step 3: Cross multiply
   96,778x = 152,080 × 152,080
4. Step 4: Simplify right side
   96,778x = 23,128,326,400
5. Step 5: Solve for x
   x = 23,128,326,400/96,778
6. Step 6: Final answer
   x = 238,983.31