Finding the Third Proportional to 68,424 and 147,064

Step by Step Solution

1. Step 1: Write the proportion equation
   68,424 : 147,064 = 147,064 : x
2. Step 2: Convert to fraction form
   68,424/147,064 = 147,064/x
3. Step 3: Cross multiply
   68,424x = 147,064 × 147,064
4. Step 4: Simplify right side
   68,424x = 21,627,820,096
5. Step 5: Solve for x
   x = 21,627,820,096/68,424
6. Step 6: Final answer
   x = 316,085.29