Finding the Third Proportional to 77,501.25 and 158,277.38

Step by Step Solution

1. Step 1: Write the proportion equation
   77,501.25 : 158,277.38 = 158,277.38 : x
2. Step 2: Convert to fraction form
   77,501.25/158,277.38 = 158,277.38/x
3. Step 3: Cross multiply
   77,501.25x = 158,277.38 × 158,277.38
4. Step 4: Simplify right side
   77,501.25x = 25,051,727,436.89
5. Step 5: Solve for x
   x = 25,051,727,436.89/77,501.25
6. Step 6: Final answer
   x = 323,242.88