Finding the Third Proportional to 152,072 and 355,340

Step by Step Solution

1. Step 1: Write the proportion equation
   152,072 : 355,340 = 355,340 : x
2. Step 2: Convert to fraction form
   152,072/355,340 = 355,340/x
3. Step 3: Cross multiply
   152,072x = 355,340 × 355,340
4. Step 4: Simplify right side
   152,072x = 126,266,515,600
5. Step 5: Solve for x
   x = 126,266,515,600/152,072
6. Step 6: Final answer
   x = 830,307.46