Finding the Third Proportional to 42,738 and 92,052

Step by Step Solution

1. Step 1: Write the proportion equation
   42,738 : 92,052 = 92,052 : x
2. Step 2: Convert to fraction form
   42,738/92,052 = 92,052/x
3. Step 3: Cross multiply
   42,738x = 92,052 × 92,052
4. Step 4: Simplify right side
   42,738x = 8,473,570,704
5. Step 5: Solve for x
   x = 8,473,570,704/42,738
6. Step 6: Final answer
   x = 198,267.83