Finding the Third Proportional to 77,627.25 and 158,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,627.25 : 158,521.50 = 158,521.50 : x
2. Step 2: Convert to fraction form
   77,627.25/158,521.50 = 158,521.50/x
3. Step 3: Cross multiply
   77,627.25x = 158,521.50 × 158,521.50
4. Step 4: Simplify right side
   77,627.25x = 25,129,065,962.25
5. Step 5: Solve for x
   x = 25,129,065,962.25/77,627.25
6. Step 6: Final answer
   x = 323,714.49