Finding the Third Proportional to 71,296 and 152,140

Step by Step Solution

1. Step 1: Write the proportion equation
   71,296 : 152,140 = 152,140 : x
2. Step 2: Convert to fraction form
   71,296/152,140 = 152,140/x
3. Step 3: Cross multiply
   71,296x = 152,140 × 152,140
4. Step 4: Simplify right side
   71,296x = 23,146,579,600
5. Step 5: Solve for x
   x = 23,146,579,600/71,296
6. Step 6: Final answer
   x = 324,654.67