Finding the Third Proportional to 69,002 and 147,844

Step by Step Solution

1. Step 1: Write the proportion equation
   69,002 : 147,844 = 147,844 : x
2. Step 2: Convert to fraction form
   69,002/147,844 = 147,844/x
3. Step 3: Cross multiply
   69,002x = 147,844 × 147,844
4. Step 4: Simplify right side
   69,002x = 21,857,848,336
5. Step 5: Solve for x
   x = 21,857,848,336/69,002
6. Step 6: Final answer
   x = 316,771.23