Finding the Third Proportional to 168,034.50 and 277,506

Step by Step Solution

1. Step 1: Write the proportion equation
   168,034.50 : 277,506 = 277,506 : x
2. Step 2: Convert to fraction form
   168,034.50/277,506 = 277,506/x
3. Step 3: Cross multiply
   168,034.50x = 277,506 × 277,506
4. Step 4: Simplify right side
   168,034.50x = 77,009,580,036
5. Step 5: Solve for x
   x = 77,009,580,036/168,034.50
6. Step 6: Final answer
   x = 458,296.24