Finding the Third Proportional to 438,100 and 659,094

Step by Step Solution

1. Step 1: Write the proportion equation
   438,100 : 659,094 = 659,094 : x
2. Step 2: Convert to fraction form
   438,100/659,094 = 659,094/x
3. Step 3: Cross multiply
   438,100x = 659,094 × 659,094
4. Step 4: Simplify right side
   438,100x = 434,404,900,836
5. Step 5: Solve for x
   x = 434,404,900,836/438,100
6. Step 6: Final answer
   x = 991,565.63