Finding the Third Proportional to 442.31 and 932.91

Step by Step Solution

1. Step 1: Write the proportion equation
   442.31 : 932.91 = 932.91 : x
2. Step 2: Convert to fraction form
   442.31/932.91 = 932.91/x
3. Step 3: Cross multiply
   442.31x = 932.91 × 932.91
4. Step 4: Simplify right side
   442.31x = 870,314.07
5. Step 5: Solve for x
   x = 870,314.07/442.31
6. Step 6: Final answer
   x = 1,967.65