Finding the Third Proportional to 99,697 and 142,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,697 : 142,199.50 = 142,199.50 : x
2. Step 2: Convert to fraction form
   99,697/142,199.50 = 142,199.50/x
3. Step 3: Cross multiply
   99,697x = 142,199.50 × 142,199.50
4. Step 4: Simplify right side
   99,697x = 20,220,697,800.25
5. Step 5: Solve for x
   x = 20,220,697,800.25/99,697
6. Step 6: Final answer
   x = 202,821.53