Finding the Third Proportional to 85,050 and 185,641.88

Step by Step Solution

1. Step 1: Write the proportion equation
   85,050 : 185,641.88 = 185,641.88 : x
2. Step 2: Convert to fraction form
   85,050/185,641.88 = 185,641.88/x
3. Step 3: Cross multiply
   85,050x = 185,641.88 × 185,641.88
4. Step 4: Simplify right side
   85,050x = 34,462,905,753.52
5. Step 5: Solve for x
   x = 34,462,905,753.52/85,050
6. Step 6: Final answer
   x = 405,207.59