Finding the Third Proportional to 120,068 and 185,838

Step by Step Solution

1. Step 1: Write the proportion equation
   120,068 : 185,838 = 185,838 : x
2. Step 2: Convert to fraction form
   120,068/185,838 = 185,838/x
3. Step 3: Cross multiply
   120,068x = 185,838 × 185,838
4. Step 4: Simplify right side
   120,068x = 34,535,762,244
5. Step 5: Solve for x
   x = 34,535,762,244/120,068
6. Step 6: Final answer
   x = 287,635.03