Finding the Third Proportional to 78,007 and 111,473

Step by Step Solution

1. Step 1: Write the proportion equation
   78,007 : 111,473 = 111,473 : x
2. Step 2: Convert to fraction form
   78,007/111,473 = 111,473/x
3. Step 3: Cross multiply
   78,007x = 111,473 × 111,473
4. Step 4: Simplify right side
   78,007x = 12,426,229,729
5. Step 5: Solve for x
   x = 12,426,229,729/78,007
6. Step 6: Final answer
   x = 159,296.34