Finding the Third Proportional to 92,978 and 147,755

Step by Step Solution

1. Step 1: Write the proportion equation
   92,978 : 147,755 = 147,755 : x
2. Step 2: Convert to fraction form
   92,978/147,755 = 147,755/x
3. Step 3: Cross multiply
   92,978x = 147,755 × 147,755
4. Step 4: Simplify right side
   92,978x = 21,831,540,025
5. Step 5: Solve for x
   x = 21,831,540,025/92,978
6. Step 6: Final answer
   x = 234,803.29