Finding the Third Proportional to 77,399 and 158,078

Step by Step Solution

1. Step 1: Write the proportion equation
   77,399 : 158,078 = 158,078 : x
2. Step 2: Convert to fraction form
   77,399/158,078 = 158,078/x
3. Step 3: Cross multiply
   77,399x = 158,078 × 158,078
4. Step 4: Simplify right side
   77,399x = 24,988,654,084
5. Step 5: Solve for x
   x = 24,988,654,084/77,399
6. Step 6: Final answer
   x = 322,855.00