Finding the Third Proportional to 77,820 and 113,970

Step by Step Solution

1. Step 1: Write the proportion equation
   77,820 : 113,970 = 113,970 : x
2. Step 2: Convert to fraction form
   77,820/113,970 = 113,970/x
3. Step 3: Cross multiply
   77,820x = 113,970 × 113,970
4. Step 4: Simplify right side
   77,820x = 12,989,160,900
5. Step 5: Solve for x
   x = 12,989,160,900/77,820
6. Step 6: Final answer
   x = 166,912.89