Finding the Third Proportional to 77,397 and 158,074.88

Step by Step Solution

1. Step 1: Write the proportion equation
   77,397 : 158,074.88 = 158,074.88 : x
2. Step 2: Convert to fraction form
   77,397/158,074.88 = 158,074.88/x
3. Step 3: Cross multiply
   77,397x = 158,074.88 × 158,074.88
4. Step 4: Simplify right side
   77,397x = 24,987,666,106.27
5. Step 5: Solve for x
   x = 24,987,666,106.27/77,397
6. Step 6: Final answer
   x = 322,850.58