Finding the Third Proportional to 105,030 and 157,178.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,030 : 157,178.25 = 157,178.25 : x
2. Step 2: Convert to fraction form
   105,030/157,178.25 = 157,178.25/x
3. Step 3: Cross multiply
   105,030x = 157,178.25 × 157,178.25
4. Step 4: Simplify right side
   105,030x = 24,705,002,273.06
5. Step 5: Solve for x
   x = 24,705,002,273.06/105,030
6. Step 6: Final answer
   x = 235,218.53