Finding the Third Proportional to 91,194 and 140,085

Step by Step Solution

1. Step 1: Write the proportion equation
   91,194 : 140,085 = 140,085 : x
2. Step 2: Convert to fraction form
   91,194/140,085 = 140,085/x
3. Step 3: Cross multiply
   91,194x = 140,085 × 140,085
4. Step 4: Simplify right side
   91,194x = 19,623,807,225
5. Step 5: Solve for x
   x = 19,623,807,225/91,194
6. Step 6: Final answer
   x = 215,187.48