Finding the Third Proportional to 188,046 and 293,510

Step by Step Solution

1. Step 1: Write the proportion equation
   188,046 : 293,510 = 293,510 : x
2. Step 2: Convert to fraction form
   188,046/293,510 = 293,510/x
3. Step 3: Cross multiply
   188,046x = 293,510 × 293,510
4. Step 4: Simplify right side
   188,046x = 86,148,120,100
5. Step 5: Solve for x
   x = 86,148,120,100/188,046
6. Step 6: Final answer
   x = 458,122.59