Finding the Third Proportional to 73,641 and 116,794.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,641 : 116,794.50 = 116,794.50 : x
2. Step 2: Convert to fraction form
   73,641/116,794.50 = 116,794.50/x
3. Step 3: Cross multiply
   73,641x = 116,794.50 × 116,794.50
4. Step 4: Simplify right side
   73,641x = 13,640,955,230.25
5. Step 5: Solve for x
   x = 13,640,955,230.25/73,641
6. Step 6: Final answer
   x = 185,235.88