Finding the Third Proportional to 402,380 and 870,097

Step by Step Solution

1. Step 1: Write the proportion equation
   402,380 : 870,097 = 870,097 : x
2. Step 2: Convert to fraction form
   402,380/870,097 = 870,097/x
3. Step 3: Cross multiply
   402,380x = 870,097 × 870,097
4. Step 4: Simplify right side
   402,380x = 757,068,789,409
5. Step 5: Solve for x
   x = 757,068,789,409/402,380
6. Step 6: Final answer
   x = 1,881,477.18