Finding the Third Proportional to 64,336 and 152,072

Step by Step Solution

1. Step 1: Write the proportion equation
   64,336 : 152,072 = 152,072 : x
2. Step 2: Convert to fraction form
   64,336/152,072 = 152,072/x
3. Step 3: Cross multiply
   64,336x = 152,072 × 152,072
4. Step 4: Simplify right side
   64,336x = 23,125,893,184
5. Step 5: Solve for x
   x = 23,125,893,184/64,336
6. Step 6: Final answer
   x = 359,454.94