Finding the Third Proportional to 105,004 and 157,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,004 : 157,465.50 = 157,465.50 : x
2. Step 2: Convert to fraction form
   105,004/157,465.50 = 157,465.50/x
3. Step 3: Cross multiply
   105,004x = 157,465.50 × 157,465.50
4. Step 4: Simplify right side
   105,004x = 24,795,383,690.25
5. Step 5: Solve for x
   x = 24,795,383,690.25/105,004
6. Step 6: Final answer
   x = 236,137.52