Finding the Third Proportional to 59,274 and 105,402

Step by Step Solution

1. Step 1: Write the proportion equation
   59,274 : 105,402 = 105,402 : x
2. Step 2: Convert to fraction form
   59,274/105,402 = 105,402/x
3. Step 3: Cross multiply
   59,274x = 105,402 × 105,402
4. Step 4: Simplify right side
   59,274x = 11,109,581,604
5. Step 5: Solve for x
   x = 11,109,581,604/59,274
6. Step 6: Final answer
   x = 187,427.57