Finding the Third Proportional to 86,510 and 185,953

Step by Step Solution

1. Step 1: Write the proportion equation
   86,510 : 185,953 = 185,953 : x
2. Step 2: Convert to fraction form
   86,510/185,953 = 185,953/x
3. Step 3: Cross multiply
   86,510x = 185,953 × 185,953
4. Step 4: Simplify right side
   86,510x = 34,578,518,209
5. Step 5: Solve for x
   x = 34,578,518,209/86,510
6. Step 6: Final answer
   x = 399,705.45