Finding the Third Proportional to 119,792 and 185,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,792 : 185,742.50 = 185,742.50 : x
2. Step 2: Convert to fraction form
   119,792/185,742.50 = 185,742.50/x
3. Step 3: Cross multiply
   119,792x = 185,742.50 × 185,742.50
4. Step 4: Simplify right side
   119,792x = 34,500,276,306.25
5. Step 5: Solve for x
   x = 34,500,276,306.25/119,792
6. Step 6: Final answer
   x = 288,001.51