Finding the Third Proportional to 76,009.22 and 111,725.16

Step by Step Solution

1. Step 1: Write the proportion equation
   76,009.22 : 111,725.16 = 111,725.16 : x
2. Step 2: Convert to fraction form
   76,009.22/111,725.16 = 111,725.16/x
3. Step 3: Cross multiply
   76,009.22x = 111,725.16 × 111,725.16
4. Step 4: Simplify right side
   76,009.22x = 12,482,510,539.09
5. Step 5: Solve for x
   x = 12,482,510,539.09/76,009.22
6. Step 6: Final answer
   x = 164,223.64