Finding the Third Proportional to 96,877.27 and 205,492.57

Step by Step Solution

1. Step 1: Write the proportion equation
   96,877.27 : 205,492.57 = 205,492.57 : x
2. Step 2: Convert to fraction form
   96,877.27/205,492.57 = 205,492.57/x
3. Step 3: Cross multiply
   96,877.27x = 205,492.57 × 205,492.57
4. Step 4: Simplify right side
   96,877.27x = 42,227,196,453.64
5. Step 5: Solve for x
   x = 42,227,196,453.64/96,877.27
6. Step 6: Final answer
   x = 435,883.45