Finding the Third Proportional to 69,111 and 142,560

Step by Step Solution

1. Step 1: Write the proportion equation
   69,111 : 142,560 = 142,560 : x
2. Step 2: Convert to fraction form
   69,111/142,560 = 142,560/x
3. Step 3: Cross multiply
   69,111x = 142,560 × 142,560
4. Step 4: Simplify right side
   69,111x = 20,323,353,600
5. Step 5: Solve for x
   x = 20,323,353,600/69,111
6. Step 6: Final answer
   x = 294,068.29