Finding the Third Proportional to 51,978 and 121,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,978 : 121,468.50 = 121,468.50 : x
2. Step 2: Convert to fraction form
   51,978/121,468.50 = 121,468.50/x
3. Step 3: Cross multiply
   51,978x = 121,468.50 × 121,468.50
4. Step 4: Simplify right side
   51,978x = 14,754,596,492.25
5. Step 5: Solve for x
   x = 14,754,596,492.25/51,978
6. Step 6: Final answer
   x = 283,862.34