Finding the Third Proportional to 67,752 and 147,567

Step by Step Solution

1. Step 1: Write the proportion equation
   67,752 : 147,567 = 147,567 : x
2. Step 2: Convert to fraction form
   67,752/147,567 = 147,567/x
3. Step 3: Cross multiply
   67,752x = 147,567 × 147,567
4. Step 4: Simplify right side
   67,752x = 21,776,019,489
5. Step 5: Solve for x
   x = 21,776,019,489/67,752
6. Step 6: Final answer
   x = 321,407.77