Finding the Third Proportional to 72,205 and 111,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,205 : 111,585.50 = 111,585.50 : x
2. Step 2: Convert to fraction form
   72,205/111,585.50 = 111,585.50/x
3. Step 3: Cross multiply
   72,205x = 111,585.50 × 111,585.50
4. Step 4: Simplify right side
   72,205x = 12,451,323,810.25
5. Step 5: Solve for x
   x = 12,451,323,810.25/72,205
6. Step 6: Final answer
   x = 172,444.07