Finding the Third Proportional to 123,492.09 and 256,673.81

Step by Step Solution

1. Step 1: Write the proportion equation
   123,492.09 : 256,673.81 = 256,673.81 : x
2. Step 2: Convert to fraction form
   123,492.09/256,673.81 = 256,673.81/x
3. Step 3: Cross multiply
   123,492.09x = 256,673.81 × 256,673.81
4. Step 4: Simplify right side
   123,492.09x = 65,881,446,023.29
5. Step 5: Solve for x
   x = 65,881,446,023.29/123,492.09
6. Step 6: Final answer
   x = 533,487.16