Finding the Third Proportional to 123,981.75 and 185,492.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,981.75 : 185,492.25 = 185,492.25 : x
2. Step 2: Convert to fraction form
   123,981.75/185,492.25 = 185,492.25/x
3. Step 3: Cross multiply
   123,981.75x = 185,492.25 × 185,492.25
4. Step 4: Simplify right side
   123,981.75x = 34,407,374,810.06
5. Step 5: Solve for x
   x = 34,407,374,810.06/123,981.75
6. Step 6: Final answer
   x = 277,519.67