Finding the Third Proportional to 85,520 and 187,132

Step by Step Solution

1. Step 1: Write the proportion equation
   85,520 : 187,132 = 187,132 : x
2. Step 2: Convert to fraction form
   85,520/187,132 = 187,132/x
3. Step 3: Cross multiply
   85,520x = 187,132 × 187,132
4. Step 4: Simplify right side
   85,520x = 35,018,385,424
5. Step 5: Solve for x
   x = 35,018,385,424/85,520
6. Step 6: Final answer
   x = 409,475.98