Finding the Third Proportional to 69,799 and 152,635

Step by Step Solution

1. Step 1: Write the proportion equation
   69,799 : 152,635 = 152,635 : x
2. Step 2: Convert to fraction form
   69,799/152,635 = 152,635/x
3. Step 3: Cross multiply
   69,799x = 152,635 × 152,635
4. Step 4: Simplify right side
   69,799x = 23,297,443,225
5. Step 5: Solve for x
   x = 23,297,443,225/69,799
6. Step 6: Final answer
   x = 333,779.04