Finding the Third Proportional to 77,802 and 158,455.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,802 : 158,455.50 = 158,455.50 : x
2. Step 2: Convert to fraction form
   77,802/158,455.50 = 158,455.50/x
3. Step 3: Cross multiply
   77,802x = 158,455.50 × 158,455.50
4. Step 4: Simplify right side
   77,802x = 25,108,145,480.25
5. Step 5: Solve for x
   x = 25,108,145,480.25/77,802
6. Step 6: Final answer
   x = 322,718.51