Finding the Third Proportional to 69,322 and 105,442

Step by Step Solution

1. Step 1: Write the proportion equation
   69,322 : 105,442 = 105,442 : x
2. Step 2: Convert to fraction form
   69,322/105,442 = 105,442/x
3. Step 3: Cross multiply
   69,322x = 105,442 × 105,442
4. Step 4: Simplify right side
   69,322x = 11,118,015,364
5. Step 5: Solve for x
   x = 11,118,015,364/69,322
6. Step 6: Final answer
   x = 160,382.21