Finding the Third Proportional to 71,856 and 147,296

Step by Step Solution

1. Step 1: Write the proportion equation
   71,856 : 147,296 = 147,296 : x
2. Step 2: Convert to fraction form
   71,856/147,296 = 147,296/x
3. Step 3: Cross multiply
   71,856x = 147,296 × 147,296
4. Step 4: Simplify right side
   71,856x = 21,696,111,616
5. Step 5: Solve for x
   x = 21,696,111,616/71,856
6. Step 6: Final answer
   x = 301,938.76