Finding the Third Proportional to 258,838.50 and 406,119

Step by Step Solution

1. Step 1: Write the proportion equation
   258,838.50 : 406,119 = 406,119 : x
2. Step 2: Convert to fraction form
   258,838.50/406,119 = 406,119/x
3. Step 3: Cross multiply
   258,838.50x = 406,119 × 406,119
4. Step 4: Simplify right side
   258,838.50x = 164,932,642,161
5. Step 5: Solve for x
   x = 164,932,642,161/258,838.50
6. Step 6: Final answer
   x = 637,202.90