Finding the Third Proportional to 123,583 and 185,374

Step by Step Solution

1. Step 1: Write the proportion equation
   123,583 : 185,374 = 185,374 : x
2. Step 2: Convert to fraction form
   123,583/185,374 = 185,374/x
3. Step 3: Cross multiply
   123,583x = 185,374 × 185,374
4. Step 4: Simplify right side
   123,583x = 34,363,519,876
5. Step 5: Solve for x
   x = 34,363,519,876/123,583
6. Step 6: Final answer
   x = 278,060.25