Finding the Third Proportional to 123,792.75 and 185,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,792.75 : 185,962.50 = 185,962.50 : x
2. Step 2: Convert to fraction form
   123,792.75/185,962.50 = 185,962.50/x
3. Step 3: Cross multiply
   123,792.75x = 185,962.50 × 185,962.50
4. Step 4: Simplify right side
   123,792.75x = 34,582,051,406.25
5. Step 5: Solve for x
   x = 34,582,051,406.25/123,792.75
6. Step 6: Final answer
   x = 279,354.42