Finding the Third Proportional to 130,142 and 191,109

Step by Step Solution

1. Step 1: Write the proportion equation
   130,142 : 191,109 = 191,109 : x
2. Step 2: Convert to fraction form
   130,142/191,109 = 191,109/x
3. Step 3: Cross multiply
   130,142x = 191,109 × 191,109
4. Step 4: Simplify right side
   130,142x = 36,522,649,881
5. Step 5: Solve for x
   x = 36,522,649,881/130,142
6. Step 6: Final answer
   x = 280,636.92