Finding the Third Proportional to 746.50 and 1,156

Step by Step Solution

1. Step 1: Write the proportion equation
   746.50 : 1,156 = 1,156 : x
2. Step 2: Convert to fraction form
   746.50/1,156 = 1,156/x
3. Step 3: Cross multiply
   746.50x = 1,156 × 1,156
4. Step 4: Simplify right side
   746.50x = 1,336,336
5. Step 5: Solve for x
   x = 1,336,336/746.50
6. Step 6: Final answer
   x = 1,790.14