Finding the Third Proportional to 67,838 and 99,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,838 : 99,724.50 = 99,724.50 : x
2. Step 2: Convert to fraction form
   67,838/99,724.50 = 99,724.50/x
3. Step 3: Cross multiply
   67,838x = 99,724.50 × 99,724.50
4. Step 4: Simplify right side
   67,838x = 9,944,975,900.25
5. Step 5: Solve for x
   x = 9,944,975,900.25/67,838
6. Step 6: Final answer
   x = 146,598.90