Finding the Third Proportional to 70,698 and 152,465

Step by Step Solution

1. Step 1: Write the proportion equation
   70,698 : 152,465 = 152,465 : x
2. Step 2: Convert to fraction form
   70,698/152,465 = 152,465/x
3. Step 3: Cross multiply
   70,698x = 152,465 × 152,465
4. Step 4: Simplify right side
   70,698x = 23,245,576,225
5. Step 5: Solve for x
   x = 23,245,576,225/70,698
6. Step 6: Final answer
   x = 328,801.04