Finding the Third Proportional to 164,546 and 359,251

Step by Step Solution

1. Step 1: Write the proportion equation
   164,546 : 359,251 = 359,251 : x
2. Step 2: Convert to fraction form
   164,546/359,251 = 359,251/x
3. Step 3: Cross multiply
   164,546x = 359,251 × 359,251
4. Step 4: Simplify right side
   164,546x = 129,061,281,001
5. Step 5: Solve for x
   x = 129,061,281,001/164,546
6. Step 6: Final answer
   x = 784,347.73