Finding the Third Proportional to 69,506 and 144,172

Step by Step Solution

1. Step 1: Write the proportion equation
   69,506 : 144,172 = 144,172 : x
2. Step 2: Convert to fraction form
   69,506/144,172 = 144,172/x
3. Step 3: Cross multiply
   69,506x = 144,172 × 144,172
4. Step 4: Simplify right side
   69,506x = 20,785,565,584
5. Step 5: Solve for x
   x = 20,785,565,584/69,506
6. Step 6: Final answer
   x = 299,047.07