Finding the Third Proportional to 136,792.50 and 204,642

Step by Step Solution

1. Step 1: Write the proportion equation
   136,792.50 : 204,642 = 204,642 : x
2. Step 2: Convert to fraction form
   136,792.50/204,642 = 204,642/x
3. Step 3: Cross multiply
   136,792.50x = 204,642 × 204,642
4. Step 4: Simplify right side
   136,792.50x = 41,878,348,164
5. Step 5: Solve for x
   x = 41,878,348,164/136,792.50
6. Step 6: Final answer
   x = 306,145.06