Finding the Third Proportional to 77,776.50 and 158,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,776.50 : 158,833.50 = 158,833.50 : x
2. Step 2: Convert to fraction form
   77,776.50/158,833.50 = 158,833.50/x
3. Step 3: Cross multiply
   77,776.50x = 158,833.50 × 158,833.50
4. Step 4: Simplify right side
   77,776.50x = 25,228,080,722.25
5. Step 5: Solve for x
   x = 25,228,080,722.25/77,776.50
6. Step 6: Final answer
   x = 324,366.37