Finding the Third Proportional to 105,390 and 142,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,390 : 142,492.50 = 142,492.50 : x
2. Step 2: Convert to fraction form
   105,390/142,492.50 = 142,492.50/x
3. Step 3: Cross multiply
   105,390x = 142,492.50 × 142,492.50
4. Step 4: Simplify right side
   105,390x = 20,304,112,556.25
5. Step 5: Solve for x
   x = 20,304,112,556.25/105,390
6. Step 6: Final answer
   x = 192,656.92