Finding the Third Proportional to 72,009 and 112,964.63

Step by Step Solution

1. Step 1: Write the proportion equation
   72,009 : 112,964.63 = 112,964.63 : x
2. Step 2: Convert to fraction form
   72,009/112,964.63 = 112,964.63/x
3. Step 3: Cross multiply
   72,009x = 112,964.63 × 112,964.63
4. Step 4: Simplify right side
   72,009x = 12,761,006,501.39
5. Step 5: Solve for x
   x = 12,761,006,501.39/72,009
6. Step 6: Final answer
   x = 177,214.05