Finding the Third Proportional to 76,714 and 164,090

Step by Step Solution

1. Step 1: Write the proportion equation
   76,714 : 164,090 = 164,090 : x
2. Step 2: Convert to fraction form
   76,714/164,090 = 164,090/x
3. Step 3: Cross multiply
   76,714x = 164,090 × 164,090
4. Step 4: Simplify right side
   76,714x = 26,925,528,100
5. Step 5: Solve for x
   x = 26,925,528,100/76,714
6. Step 6: Final answer
   x = 350,985.84