Finding the Third Proportional to 166,897 and 371,111

Step by Step Solution

1. Step 1: Write the proportion equation
   166,897 : 371,111 = 371,111 : x
2. Step 2: Convert to fraction form
   166,897/371,111 = 371,111/x
3. Step 3: Cross multiply
   166,897x = 371,111 × 371,111
4. Step 4: Simplify right side
   166,897x = 137,723,374,321
5. Step 5: Solve for x
   x = 137,723,374,321/166,897
6. Step 6: Final answer
   x = 825,199.82