Finding the Third Proportional to 69,340 and 152,072

Step by Step Solution

1. Step 1: Write the proportion equation
   69,340 : 152,072 = 152,072 : x
2. Step 2: Convert to fraction form
   69,340/152,072 = 152,072/x
3. Step 3: Cross multiply
   69,340x = 152,072 × 152,072
4. Step 4: Simplify right side
   69,340x = 23,125,893,184
5. Step 5: Solve for x
   x = 23,125,893,184/69,340
6. Step 6: Final answer
   x = 333,514.47