Finding the Third Proportional to 85,697.72 and 185,695.88

Step by Step Solution

1. Step 1: Write the proportion equation
   85,697.72 : 185,695.88 = 185,695.88 : x
2. Step 2: Convert to fraction form
   85,697.72/185,695.88 = 185,695.88/x
3. Step 3: Cross multiply
   85,697.72x = 185,695.88 × 185,695.88
4. Step 4: Simplify right side
   85,697.72x = 34,482,957,992.02
5. Step 5: Solve for x
   x = 34,482,957,992.02/85,697.72
6. Step 6: Final answer
   x = 402,378.95