Finding the Third Proportional to 86,943 and 190,510

Step by Step Solution

1. Step 1: Write the proportion equation
   86,943 : 190,510 = 190,510 : x
2. Step 2: Convert to fraction form
   86,943/190,510 = 190,510/x
3. Step 3: Cross multiply
   86,943x = 190,510 × 190,510
4. Step 4: Simplify right side
   86,943x = 36,294,060,100
5. Step 5: Solve for x
   x = 36,294,060,100/86,943
6. Step 6: Final answer
   x = 417,446.60