Finding the Third Proportional to 78,009 and 116,490

Step by Step Solution

1. Step 1: Write the proportion equation
   78,009 : 116,490 = 116,490 : x
2. Step 2: Convert to fraction form
   78,009/116,490 = 116,490/x
3. Step 3: Cross multiply
   78,009x = 116,490 × 116,490
4. Step 4: Simplify right side
   78,009x = 13,569,920,100
5. Step 5: Solve for x
   x = 13,569,920,100/78,009
6. Step 6: Final answer
   x = 173,953.26