Finding the Third Proportional to 105,264 and 157,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,264 : 157,621.50 = 157,621.50 : x
2. Step 2: Convert to fraction form
   105,264/157,621.50 = 157,621.50/x
3. Step 3: Cross multiply
   105,264x = 157,621.50 × 157,621.50
4. Step 4: Simplify right side
   105,264x = 24,844,537,262.25
5. Step 5: Solve for x
   x = 24,844,537,262.25/105,264
6. Step 6: Final answer
   x = 236,021.22