Finding the Third Proportional to 67,461 and 146,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,461 : 146,815.50 = 146,815.50 : x
2. Step 2: Convert to fraction form
   67,461/146,815.50 = 146,815.50/x
3. Step 3: Cross multiply
   67,461x = 146,815.50 × 146,815.50
4. Step 4: Simplify right side
   67,461x = 21,554,791,040.25
5. Step 5: Solve for x
   x = 21,554,791,040.25/67,461
6. Step 6: Final answer
   x = 319,514.85