Finding the Third Proportional to 123,693.75 and 185,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,693.75 : 185,503.50 = 185,503.50 : x
2. Step 2: Convert to fraction form
   123,693.75/185,503.50 = 185,503.50/x
3. Step 3: Cross multiply
   123,693.75x = 185,503.50 × 185,503.50
4. Step 4: Simplify right side
   123,693.75x = 34,411,548,512.25
5. Step 5: Solve for x
   x = 34,411,548,512.25/123,693.75
6. Step 6: Final answer
   x = 278,199.57