Finding the Third Proportional to 72,346 and 105,692

Step by Step Solution

1. Step 1: Write the proportion equation
   72,346 : 105,692 = 105,692 : x
2. Step 2: Convert to fraction form
   72,346/105,692 = 105,692/x
3. Step 3: Cross multiply
   72,346x = 105,692 × 105,692
4. Step 4: Simplify right side
   72,346x = 11,170,798,864
5. Step 5: Solve for x
   x = 11,170,798,864/72,346
6. Step 6: Final answer
   x = 154,407.97