Finding the Third Proportional to 76,468.50 and 164,654

Step by Step Solution

1. Step 1: Write the proportion equation
   76,468.50 : 164,654 = 164,654 : x
2. Step 2: Convert to fraction form
   76,468.50/164,654 = 164,654/x
3. Step 3: Cross multiply
   76,468.50x = 164,654 × 164,654
4. Step 4: Simplify right side
   76,468.50x = 27,110,939,716
5. Step 5: Solve for x
   x = 27,110,939,716/76,468.50
6. Step 6: Final answer
   x = 354,537.35