Finding the Third Proportional to 69,673 and 152,434

Step by Step Solution

1. Step 1: Write the proportion equation
   69,673 : 152,434 = 152,434 : x
2. Step 2: Convert to fraction form
   69,673/152,434 = 152,434/x
3. Step 3: Cross multiply
   69,673x = 152,434 × 152,434
4. Step 4: Simplify right side
   69,673x = 23,236,124,356
5. Step 5: Solve for x
   x = 23,236,124,356/69,673
6. Step 6: Final answer
   x = 333,502.57