Finding the Third Proportional to 77,554 and 116,978

Step by Step Solution

1. Step 1: Write the proportion equation
   77,554 : 116,978 = 116,978 : x
2. Step 2: Convert to fraction form
   77,554/116,978 = 116,978/x
3. Step 3: Cross multiply
   77,554x = 116,978 × 116,978
4. Step 4: Simplify right side
   77,554x = 13,683,852,484
5. Step 5: Solve for x
   x = 13,683,852,484/77,554
6. Step 6: Final answer
   x = 176,442.90