Finding the Third Proportional to 193,181.50 and 420,684

Step by Step Solution

1. Step 1: Write the proportion equation
   193,181.50 : 420,684 = 420,684 : x
2. Step 2: Convert to fraction form
   193,181.50/420,684 = 420,684/x
3. Step 3: Cross multiply
   193,181.50x = 420,684 × 420,684
4. Step 4: Simplify right side
   193,181.50x = 176,975,027,856
5. Step 5: Solve for x
   x = 176,975,027,856/193,181.50
6. Step 6: Final answer
   x = 916,107.54