Finding the Third Proportional to 1,114.88 and 1,492.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.88 : 1,492.31 = 1,492.31 : x
2. Step 2: Convert to fraction form
   1,114.88/1,492.31 = 1,492.31/x
3. Step 3: Cross multiply
   1,114.88x = 1,492.31 × 1,492.31
4. Step 4: Simplify right side
   1,114.88x = 2,226,996.60
5. Step 5: Solve for x
   x = 2,226,996.60/1,114.88
6. Step 6: Final answer
   x = 1,997.53