Finding the Third Proportional to 140,820 and 191,310

Step by Step Solution

1. Step 1: Write the proportion equation
   140,820 : 191,310 = 191,310 : x
2. Step 2: Convert to fraction form
   140,820/191,310 = 191,310/x
3. Step 3: Cross multiply
   140,820x = 191,310 × 191,310
4. Step 4: Simplify right side
   140,820x = 36,599,516,100
5. Step 5: Solve for x
   x = 36,599,516,100/140,820
6. Step 6: Final answer
   x = 259,902.83