Finding the Third Proportional to 105,241.50 and 157,410

Step by Step Solution

1. Step 1: Write the proportion equation
   105,241.50 : 157,410 = 157,410 : x
2. Step 2: Convert to fraction form
   105,241.50/157,410 = 157,410/x
3. Step 3: Cross multiply
   105,241.50x = 157,410 × 157,410
4. Step 4: Simplify right side
   105,241.50x = 24,777,908,100
5. Step 5: Solve for x
   x = 24,777,908,100/105,241.50
6. Step 6: Final answer
   x = 235,438.57