Finding the Third Proportional to 87,624 and 142,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,624 : 142,372.50 = 142,372.50 : x
2. Step 2: Convert to fraction form
   87,624/142,372.50 = 142,372.50/x
3. Step 3: Cross multiply
   87,624x = 142,372.50 × 142,372.50
4. Step 4: Simplify right side
   87,624x = 20,269,928,756.25
5. Step 5: Solve for x
   x = 20,269,928,756.25/87,624
6. Step 6: Final answer
   x = 231,328.50