Finding the Third Proportional to 119,685 and 185,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,685 : 185,847.50 = 185,847.50 : x
2. Step 2: Convert to fraction form
   119,685/185,847.50 = 185,847.50/x
3. Step 3: Cross multiply
   119,685x = 185,847.50 × 185,847.50
4. Step 4: Simplify right side
   119,685x = 34,539,293,256.25
5. Step 5: Solve for x
   x = 34,539,293,256.25/119,685
6. Step 6: Final answer
   x = 288,584.98