Finding the Third Proportional to 119,635 and 185,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,635 : 185,773.50 = 185,773.50 : x
2. Step 2: Convert to fraction form
   119,635/185,773.50 = 185,773.50/x
3. Step 3: Cross multiply
   119,635x = 185,773.50 × 185,773.50
4. Step 4: Simplify right side
   119,635x = 34,511,793,302.25
5. Step 5: Solve for x
   x = 34,511,793,302.25/119,635
6. Step 6: Final answer
   x = 288,475.72