Finding the Third Proportional to 130,164 and 194,736

Step by Step Solution

1. Step 1: Write the proportion equation
   130,164 : 194,736 = 194,736 : x
2. Step 2: Convert to fraction form
   130,164/194,736 = 194,736/x
3. Step 3: Cross multiply
   130,164x = 194,736 × 194,736
4. Step 4: Simplify right side
   130,164x = 37,922,109,696
5. Step 5: Solve for x
   x = 37,922,109,696/130,164
6. Step 6: Final answer
   x = 291,341.00