Finding the Third Proportional to 86,521 and 191,830

Step by Step Solution

1. Step 1: Write the proportion equation
   86,521 : 191,830 = 191,830 : x
2. Step 2: Convert to fraction form
   86,521/191,830 = 191,830/x
3. Step 3: Cross multiply
   86,521x = 191,830 × 191,830
4. Step 4: Simplify right side
   86,521x = 36,798,748,900
5. Step 5: Solve for x
   x = 36,798,748,900/86,521
6. Step 6: Final answer
   x = 425,315.81