Finding the Third Proportional to 42,178 and 91,738

Step by Step Solution

1. Step 1: Write the proportion equation
   42,178 : 91,738 = 91,738 : x
2. Step 2: Convert to fraction form
   42,178/91,738 = 91,738/x
3. Step 3: Cross multiply
   42,178x = 91,738 × 91,738
4. Step 4: Simplify right side
   42,178x = 8,415,860,644
5. Step 5: Solve for x
   x = 8,415,860,644/42,178
6. Step 6: Final answer
   x = 199,532.00