Finding the Third Proportional to 67,213 and 146,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,213 : 146,653.50 = 146,653.50 : x
2. Step 2: Convert to fraction form
   67,213/146,653.50 = 146,653.50/x
3. Step 3: Cross multiply
   67,213x = 146,653.50 × 146,653.50
4. Step 4: Simplify right side
   67,213x = 21,507,249,062.25
5. Step 5: Solve for x
   x = 21,507,249,062.25/67,213
6. Step 6: Final answer
   x = 319,986.45