Finding the Third Proportional to 74,214 and 152,064

Step by Step Solution

1. Step 1: Write the proportion equation
   74,214 : 152,064 = 152,064 : x
2. Step 2: Convert to fraction form
   74,214/152,064 = 152,064/x
3. Step 3: Cross multiply
   74,214x = 152,064 × 152,064
4. Step 4: Simplify right side
   74,214x = 23,123,460,096
5. Step 5: Solve for x
   x = 23,123,460,096/74,214
6. Step 6: Final answer
   x = 311,578.14