Finding the Third Proportional to 164,746 and 359,060

Step by Step Solution

1. Step 1: Write the proportion equation
   164,746 : 359,060 = 359,060 : x
2. Step 2: Convert to fraction form
   164,746/359,060 = 359,060/x
3. Step 3: Cross multiply
   164,746x = 359,060 × 359,060
4. Step 4: Simplify right side
   164,746x = 128,924,083,600
5. Step 5: Solve for x
   x = 128,924,083,600/164,746
6. Step 6: Final answer
   x = 782,562.75