Finding the Third Proportional to 123,136 and 191,264

Step by Step Solution

1. Step 1: Write the proportion equation
   123,136 : 191,264 = 191,264 : x
2. Step 2: Convert to fraction form
   123,136/191,264 = 191,264/x
3. Step 3: Cross multiply
   123,136x = 191,264 × 191,264
4. Step 4: Simplify right side
   123,136x = 36,581,917,696
5. Step 5: Solve for x
   x = 36,581,917,696/123,136
6. Step 6: Final answer
   x = 297,085.48