Finding the Third Proportional to 77,194 and 115,978

Step by Step Solution

1. Step 1: Write the proportion equation
   77,194 : 115,978 = 115,978 : x
2. Step 2: Convert to fraction form
   77,194/115,978 = 115,978/x
3. Step 3: Cross multiply
   77,194x = 115,978 × 115,978
4. Step 4: Simplify right side
   77,194x = 13,450,896,484
5. Step 5: Solve for x
   x = 13,450,896,484/77,194
6. Step 6: Final answer
   x = 174,247.95