Finding the Third Proportional to 69,736 and 152,432

Step by Step Solution

1. Step 1: Write the proportion equation
   69,736 : 152,432 = 152,432 : x
2. Step 2: Convert to fraction form
   69,736/152,432 = 152,432/x
3. Step 3: Cross multiply
   69,736x = 152,432 × 152,432
4. Step 4: Simplify right side
   69,736x = 23,235,514,624
5. Step 5: Solve for x
   x = 23,235,514,624/69,736
6. Step 6: Final answer
   x = 333,192.54