Finding the Third Proportional to 73,735 and 111,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,735 : 111,206.50 = 111,206.50 : x
2. Step 2: Convert to fraction form
   73,735/111,206.50 = 111,206.50/x
3. Step 3: Cross multiply
   73,735x = 111,206.50 × 111,206.50
4. Step 4: Simplify right side
   73,735x = 12,366,885,642.25
5. Step 5: Solve for x
   x = 12,366,885,642.25/73,735
6. Step 6: Final answer
   x = 167,720.70