Finding the Third Proportional to 123,214.50 and 185,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,214.50 : 185,368.50 = 185,368.50 : x
2. Step 2: Convert to fraction form
   123,214.50/185,368.50 = 185,368.50/x
3. Step 3: Cross multiply
   123,214.50x = 185,368.50 × 185,368.50
4. Step 4: Simplify right side
   123,214.50x = 34,361,480,792.25
5. Step 5: Solve for x
   x = 34,361,480,792.25/123,214.50
6. Step 6: Final answer
   x = 278,875.30