Finding the Third Proportional to 69,528 and 142,296

Step by Step Solution

1. Step 1: Write the proportion equation
   69,528 : 142,296 = 142,296 : x
2. Step 2: Convert to fraction form
   69,528/142,296 = 142,296/x
3. Step 3: Cross multiply
   69,528x = 142,296 × 142,296
4. Step 4: Simplify right side
   69,528x = 20,248,151,616
5. Step 5: Solve for x
   x = 20,248,151,616/69,528
6. Step 6: Final answer
   x = 291,222.98