Finding the Third Proportional to 133,092 and 191,314

Step by Step Solution

1. Step 1: Write the proportion equation
   133,092 : 191,314 = 191,314 : x
2. Step 2: Convert to fraction form
   133,092/191,314 = 191,314/x
3. Step 3: Cross multiply
   133,092x = 191,314 × 191,314
4. Step 4: Simplify right side
   133,092x = 36,601,046,596
5. Step 5: Solve for x
   x = 36,601,046,596/133,092
6. Step 6: Final answer
   x = 275,005.61