Finding the Third Proportional to 193,258.50 and 415,086

Step by Step Solution

1. Step 1: Write the proportion equation
   193,258.50 : 415,086 = 415,086 : x
2. Step 2: Convert to fraction form
   193,258.50/415,086 = 415,086/x
3. Step 3: Cross multiply
   193,258.50x = 415,086 × 415,086
4. Step 4: Simplify right side
   193,258.50x = 172,296,387,396
5. Step 5: Solve for x
   x = 172,296,387,396/193,258.50
6. Step 6: Final answer
   x = 891,533.30