Finding the Third Proportional to 117,492 and 178,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,492 : 178,996.50 = 178,996.50 : x
2. Step 2: Convert to fraction form
   117,492/178,996.50 = 178,996.50/x
3. Step 3: Cross multiply
   117,492x = 178,996.50 × 178,996.50
4. Step 4: Simplify right side
   117,492x = 32,039,747,012.25
5. Step 5: Solve for x
   x = 32,039,747,012.25/117,492
6. Step 6: Final answer
   x = 272,697.26