Finding the Third Proportional to 69,516 and 142,272

Step by Step Solution

1. Step 1: Write the proportion equation
   69,516 : 142,272 = 142,272 : x
2. Step 2: Convert to fraction form
   69,516/142,272 = 142,272/x
3. Step 3: Cross multiply
   69,516x = 142,272 × 142,272
4. Step 4: Simplify right side
   69,516x = 20,241,321,984
5. Step 5: Solve for x
   x = 20,241,321,984/69,516
6. Step 6: Final answer
   x = 291,175.01